87000574874472 has 192 divisors, whose sum is σ = 269937869160960. Its totient is φ = 24797299046400.

The previous prime is 87000574874419. The next prime is 87000574874513. The reversal of 87000574874472 is 27447847500078.

87000574874472 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 0 + 57 + 48 + 74 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 992762097 + ... + 992849727.

It is an arithmetic number, because the mean of its divisors is an integer number (1405926401880).

Almost surely, 2^{87000574874472} 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 87000574874472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134968934580480).

87000574874472 is an abundant number, since it is smaller than the sum of its proper divisors (182937294286488).

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

87000574874472 is a wasteful number, since it uses less digits than its factorization.

87000574874472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92384 (or 92377 counting only the distinct ones).

The product of its (nonzero) digits is 98344960, while the sum is 63.

The spelling of 87000574874472 in words is "eighty-seven trillion, five hundred seventy-four million, eight hundred seventy-four thousand, four hundred seventy-two".