10052816400 has 720 divisors, whose sum is σ = 41448775680. Its totient is φ = 2229120000.

The previous prime is 10052816399. The next prime is 10052816453. The reversal of 10052816400 is 461825001.

10052816400 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 8 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 23324185 + ... + 23324615.

It is an arithmetic number, because the mean of its divisors is an integer number (57567744).

Almost surely, 2^10052816400 is an apocalyptic number.

10052816400 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 10052816400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20724387840).

10052816400 is an abundant number, since it is smaller than the sum of its proper divisors (31395959280).

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

10052816400 is a wasteful number, since it uses less digits than its factorization.

10052816400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10052816400 in words is "ten billion, fifty-two million, eight hundred sixteen thousand, four hundred".