16564262400 has 960 divisors, whose sum is σ = 71605416960. Its totient is φ = 3671654400.

The previous prime is 16564262387. The next prime is 16564262411. The reversal of 16564262400 is 426246561.

16564262400 is a `hidden beast` number, since 1 + 6 + 5 + 642 + 6 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99187117 + ... + 99187283.

It is an arithmetic number, because the mean of its divisors is an integer number (74588976).

Almost surely, 2^16564262400 is an apocalyptic number.

16564262400 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 16564262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35802708480).

16564262400 is an abundant number, since it is smaller than the sum of its proper divisors (55041154560).

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

16564262400 is a wasteful number, since it uses less digits than its factorization.

16564262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16564262400 in words is "sixteen billion, five hundred sixty-four million, two hundred sixty-two thousand, four hundred".