88286200080 has 320 divisors, whose sum is σ = 301395209472. Its totient is φ = 21244354560.

The previous prime is 88286200069. The next prime is 88286200091. The reversal of 88286200080 is 8000268288.

It is an interprime number because it is at equal distance from previous prime (88286200069) and next prime (88286200091).

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 63 ways as a sum of consecutive naturals, for example, 54733354 + ... + 54734966.

Almost surely, 2^88286200080 is an apocalyptic number.

88286200080 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 88286200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150697604736).

88286200080 is an abundant number, since it is smaller than the sum of its proper divisors (213109009392).

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

88286200080 is a wasteful number, since it uses less digits than its factorization.

88286200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The spelling of 88286200080 in words is "eighty-eight billion, two hundred eighty-six million, two hundred thousand, eighty".