16780352400 has 360 divisors, whose sum is σ = 66836150784. Its totient is φ = 3819110400.

The previous prime is 16780352371. The next prime is 16780352423. The reversal of 16780352400 is 425308761.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6475105 + ... + 6477695.

Almost surely, 2^16780352400 is an apocalyptic number.

16780352400 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 16780352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33418075392).

16780352400 is an abundant number, since it is smaller than the sum of its proper divisors (50055798384).

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

16780352400 is a wasteful number, since it uses less digits than its factorization.

16780352400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16780352400 in words is "sixteen billion, seven hundred eighty million, three hundred fifty-two thousand, four hundred".