16715056400 has 90 divisors (see below), whose sum is σ = 46714373370. Its totient is φ = 5730869760.

The previous prime is 16715056399. The next prime is 16715056411. The reversal of 16715056400 is 465051761.

It can be written as a sum of positive squares in 3 ways, for example, as 10010896 + 16705045504 = 3164^2 + 129248^2 .

It is a super-2 number, since 2×16715056400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 406805 + ... + 446004.

It is an arithmetic number, because the mean of its divisors is an integer number (519048593).

Almost surely, 2^16715056400 is an apocalyptic number.

16715056400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16715056400 is an abundant number, since it is smaller than the sum of its proper divisors (29999316970).

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

16715056400 is a wasteful number, since it uses less digits than its factorization.

16715056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852841 (or 852823 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 16715056400 in words is "sixteen billion, seven hundred fifteen million, fifty-six thousand, four hundred".