87588641952 has 384 divisors, whose sum is σ = 322585804800. Its totient is φ = 22528585728.

The previous prime is 87588641911. The next prime is 87588642017. The reversal of 87588641952 is 25914688578.

87588641952 is a `hidden beast` number, since 8 + 7 + 588 + 6 + 41 + 9 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 87588641952.

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, 2346249 + ... + 2383287.

It is an arithmetic number, because the mean of its divisors is an integer number (840067200).

Almost surely, 2^87588641952 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 87588641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161292902400).

87588641952 is an abundant number, since it is smaller than the sum of its proper divisors (234997162848).

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

87588641952 is a wasteful number, since it uses less digits than its factorization.

87588641952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37105 (or 37091 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 87588641952 in words is "eighty-seven billion, five hundred eighty-eight million, six hundred forty-one thousand, nine hundred fifty-two".