87658518147372 has 192 divisors, whose sum is σ = 231116214067200. Its totient is φ = 28728377879040.

The previous prime is 87658518147349. The next prime is 87658518147469. The reversal of 87658518147372 is 27374181585678.

87658518147372 is a `hidden beast` number, since 8 + 7 + 6 + 5 + 8 + 5 + 1 + 81 + 473 + 72 = 666.

It is a super-2 number, since 2×87658518147372² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87658518147372.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4520567797 + ... + 4520587187.

It is an arithmetic number, because the mean of its divisors is an integer number (1203730281600).

Almost surely, 2^{87658518147372} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87658518147372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115558107033600).

87658518147372 is an abundant number, since it is smaller than the sum of its proper divisors (143457695919828).

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

87658518147372 is a wasteful number, since it uses less digits than its factorization.

87658518147372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22445 counting only the distinct ones).

The product of its digits is 632217600, while the sum is 72.

The spelling of 87658518147372 in words is "eighty-seven trillion, six hundred fifty-eight billion, five hundred eighteen million, one hundred forty-seven thousand, three hundred seventy-two".