88871377317888 has 208 divisors, whose sum is σ = 258838076434176. Its totient is φ = 26895849553920.

The previous prime is 88871377317881. The next prime is 88871377317893.

88871377317888 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 88871377317888.

It is not an unprimeable number, because it can be changed into a prime (88871377317881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104059581 + ... + 104910147.

Almost surely, 2^{88871377317888} is an apocalyptic number.

88871377317888 is a gapful number since it is divisible by the number (88) 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 88871377317888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129419038217088).

88871377317888 is an abundant number, since it is smaller than the sum of its proper divisors (169966699116288).

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

88871377317888 is a wasteful number, since it uses less digits than its factorization.

88871377317888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851378 (or 851356 counting only the distinct ones).

The product of its digits is 5664669696, while the sum is 84.

The spelling of 88871377317888 in words is "eighty-eight trillion, eight hundred seventy-one billion, three hundred seventy-seven million, three hundred seventeen thousand, eight hundred eighty-eight".