88615631162880 has 1280 divisors, whose sum is σ = 337032571392000. Its totient is φ = 22003811647488.

The previous prime is 88615631162873. The next prime is 88615631162881. The reversal of 88615631162880 is 8826113651688.

88615631162880 is a `hidden beast` number, since 8 + 8 + 6 + 1 + 563 + 1 + 1 + 62 + 8 + 8 + 0 = 666.

88615631162880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88615631162881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54465660627 + ... + 54465662253.

It is an arithmetic number, because the mean of its divisors is an integer number (263306696400).

Almost surely, 2^{88615631162880} is an apocalyptic number.

88615631162880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88615631162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168516285696000).

88615631162880 is an abundant number, since it is smaller than the sum of its proper divisors (248416940229120).

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

88615631162880 is a wasteful number, since it uses less digits than its factorization.

88615631162880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 88615631162880 in words is "eighty-eight trillion, six hundred fifteen billion, six hundred thirty-one million, one hundred sixty-two thousand, eight hundred eighty".