88896417280 has 160 divisors (see below), whose sum is σ = 232847239680. Its totient is φ = 32280453120.

The previous prime is 88896417277. The next prime is 88896417331. The reversal of 88896417280 is 8271469888.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24976141 + ... + 24979699.

It is an arithmetic number, because the mean of its divisors is an integer number (1455295248).

Almost surely, 2^88896417280 is an apocalyptic number.

88896417280 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 88896417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116423619840).

88896417280 is an abundant number, since it is smaller than the sum of its proper divisors (143950822400).

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

88896417280 is a wasteful number, since it uses less digits than its factorization.

88896417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 61.

The spelling of 88896417280 in words is "eighty-eight billion, eight hundred ninety-six million, four hundred seventeen thousand, two hundred eighty".