52597315008000 has 1920 divisors, whose sum is σ = 228846510921600. Its totient is φ = 12020675788800.

The previous prime is 52597315007927. The next prime is 52597315008013. The reversal of 52597315008000 is 80051379525.

52597315008000 is a `hidden beast` number, since 5 + 2 + 597 + 3 + 1 + 50 + 0 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6858428166 + ... + 6858435834.

It is an arithmetic number, because the mean of its divisors is an integer number (119190891105).

Almost surely, 2^{52597315008000} is an apocalyptic number.

52597315008000 is a gapful number since it is divisible by the number (50) 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 52597315008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114423255460800).

52597315008000 is an abundant number, since it is smaller than the sum of its proper divisors (176249195913600).

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

52597315008000 is an frugal number, since it uses more digits than its factorization.

52597315008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 52597315008000 in words is "fifty-two trillion, five hundred ninety-seven billion, three hundred fifteen million, eight thousand".