16677770005400 has 192 divisors, whose sum is σ = 44388385836480. Its totient is φ = 5708659507200.

The previous prime is 16677770005373. The next prime is 16677770005423. The reversal of 16677770005400 is 450007777661.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3532675040 + ... + 3532679760.

It is an arithmetic number, because the mean of its divisors is an integer number (231189509565).

Almost surely, 2^{16677770005400} is an apocalyptic number.

16677770005400 is a gapful number since it is divisible by the number (10) 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 16677770005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22194192918240).

16677770005400 is an abundant number, since it is smaller than the sum of its proper divisors (27710615831080).

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

16677770005400 is a wasteful number, since it uses less digits than its factorization.

16677770005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8374 (or 8365 counting only the distinct ones).

The product of its (nonzero) digits is 1728720, while the sum is 50.

The spelling of 16677770005400 in words is "sixteen trillion, six hundred seventy-seven billion, seven hundred seventy million, five thousand, four hundred".