10052596316160 has 576 divisors, whose sum is σ = 38032685308800. Its totient is φ = 2539591335936.

The previous prime is 10052596316159. The next prime is 10052596316177. The reversal of 10052596316160 is 6161369525001.

10052596316160 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 2 + 5 + 9 + 631 + 6 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47171767 + ... + 47384393.

It is an arithmetic number, because the mean of its divisors is an integer number (66028967550).

Almost surely, 2^{10052596316160} is an apocalyptic number.

10052596316160 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 10052596316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19016342654400).

10052596316160 is an abundant number, since it is smaller than the sum of its proper divisors (27980088992640).

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

10052596316160 is an equidigital number, since it uses as much as digits as its factorization.

10052596316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212688 (or 212656 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 10052596316160 in words is "ten trillion, fifty-two billion, five hundred ninety-six million, three hundred sixteen thousand, one hundred sixty".