88918859479680 has 640 divisors, whose sum is σ = 320970988800000. Its totient is φ = 23456976592896.

The previous prime is 88918859479679. The next prime is 88918859479691. The reversal of 88918859479680 is 8697495881988.

88918859479680 is a `hidden beast` number, since 8 + 8 + 9 + 1 + 8 + 8 + 59 + 479 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2297684971 + ... + 2297723669.

It is an arithmetic number, because the mean of its divisors is an integer number (501517170000).

Almost surely, 2^{88918859479680} is an apocalyptic number.

88918859479680 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 88918859479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160485494400000).

88918859479680 is an abundant number, since it is smaller than the sum of its proper divisors (232052129320320).

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

88918859479680 is a wasteful number, since it uses less digits than its factorization.

88918859479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39206 (or 39185 counting only the distinct ones).

The product of its (nonzero) digits is 20065812480, while the sum is 90.

The spelling of 88918859479680 in words is "eighty-eight trillion, nine hundred eighteen billion, eight hundred fifty-nine million, four hundred seventy-nine thousand, six hundred eighty".