16778749405392 has 720 divisors, whose sum is σ = 55048860397440. Its totient is φ = 4728937199616.

The previous prime is 16778749405367. The next prime is 16778749405417. The reversal of 16778749405392 is 29350494787761.

16778749405392 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 8 + 7 + 49 + 40 + 539 + 2 = 666.

16778749405392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16778749405367) and next prime (16778749405417).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 16778749405392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6773817658 + ... + 6773820134.

It is an arithmetic number, because the mean of its divisors is an integer number (76456750552).

It is a 1-persistent number, because it is pandigital, but 2⋅16778749405392 = 33557498810784 is not.

Almost surely, 2^{16778749405392} is an apocalyptic number.

16778749405392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16778749405392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27524430198720).

16778749405392 is an abundant number, since it is smaller than the sum of its proper divisors (38270110992048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16778749405392 is a wasteful number, since it uses less digits than its factorization.

16778749405392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 16778749405392 in words is "sixteen trillion, seven hundred seventy-eight billion, seven hundred forty-nine million, four hundred five thousand, three hundred ninety-two".