88642868584032 has 1008 divisors, whose sum is σ = 322720505765280. Its totient is φ = 23803947933696.

The previous prime is 88642868584013. The next prime is 88642868584063. The reversal of 88642868584032 is 23048586824688.

88642868584032 is a `hidden beast` number, since 8 + 8 + 6 + 4 + 2 + 8 + 6 + 8 + 584 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16303633218 + ... + 16303638654.

It is an arithmetic number, because the mean of its divisors is an integer number (320159231910).

Almost surely, 2^{88642868584032} 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 88642868584032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161360252882640).

88642868584032 is an abundant number, since it is smaller than the sum of its proper divisors (234077637181248).

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

88642868584032 is a wasteful number, since it uses less digits than its factorization.

88642868584032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6335 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 88642868584032 in words is "eighty-eight trillion, six hundred forty-two billion, eight hundred sixty-eight million, five hundred eighty-four thousand, thirty-two".