87222500652672 has 4608 divisors, whose sum is σ = 366833669529600. Its totient is φ = 20485940428800.

The previous prime is 87222500652647. The next prime is 87222500652719. The reversal of 87222500652672 is 27625600522278.

87222500652672 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 2 + 500 + 65 + 2 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1194828776028 + ... + 1194828776100.

It is an arithmetic number, because the mean of its divisors is an integer number (79608001200).

Almost surely, 2^{87222500652672} 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 87222500652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183416834764800).

87222500652672 is an abundant number, since it is smaller than the sum of its proper divisors (279611168876928).

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

87222500652672 is a wasteful number, since it uses less digits than its factorization.

87222500652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 87222500652672 in words is "eighty-seven trillion, two hundred twenty-two billion, five hundred million, six hundred fifty-two thousand, six hundred seventy-two".