87375017541672 has 192 divisors, whose sum is σ = 296229414124800. Its totient is φ = 22685602867200.

The previous prime is 87375017541619. The next prime is 87375017541709. The reversal of 87375017541672 is 27614571057378.

87375017541672 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 5 + 0 + 17 + 541 + 6 + 72 = 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, 175576204 + ... + 176073147.

It is an arithmetic number, because the mean of its divisors is an integer number (1542861531900).

Almost surely, 2^{87375017541672} is an apocalyptic number.

It is an amenable number.

87375017541672 is an abundant number, since it is smaller than the sum of its proper divisors (208854396583128).

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

87375017541672 is a wasteful number, since it uses less digits than its factorization.

87375017541672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351649416 (or 351649409 counting only the distinct ones).

The product of its (nonzero) digits is 69148800, while the sum is 63.

The spelling of 87375017541672 in words is "eighty-seven trillion, three hundred seventy-five billion, seventeen million, five hundred forty-one thousand, six hundred seventy-two".