87652133125200 has 1440 divisors, whose sum is σ = 355911902458112. Its totient is φ = 19564167168000.

The previous prime is 87652133125153. The next prime is 87652133125201. The reversal of 87652133125200 is 252133125678.

87652133125200 is a `hidden beast` number, since 8 + 7 + 65 + 2 + 1 + 331 + 252 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87652133125201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93545499132 + ... + 93545500068.

Almost surely, 2^{87652133125200} is an apocalyptic number.

87652133125200 is a gapful number since it is divisible by the number (80) 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 87652133125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177955951229056).

87652133125200 is an abundant number, since it is smaller than the sum of its proper divisors (268259769332912).

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

87652133125200 is a wasteful number, since it uses less digits than its factorization.

87652133125200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 87652133125200 in words is "eighty-seven trillion, six hundred fifty-two billion, one hundred thirty-three million, one hundred twenty-five thousand, two hundred".