88601117760 has 280 divisors, whose sum is σ = 315861923520. Its totient is φ = 23575090176.

The previous prime is 88601117747. The next prime is 88601117771. The reversal of 88601117760 is 6771110688.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12619531 + ... + 12626549.

Almost surely, 2^88601117760 is an apocalyptic number.

88601117760 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 88601117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157930961760).

88601117760 is an abundant number, since it is smaller than the sum of its proper divisors (227260805760).

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

88601117760 is a wasteful number, since it uses less digits than its factorization.

88601117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7535 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 88601117760 in words is "eighty-eight billion, six hundred one million, one hundred seventeen thousand, seven hundred sixty".