88810009920 has 336 divisors, whose sum is σ = 310159633680. Its totient is φ = 23321346048.

The previous prime is 88810009907. The next prime is 88810009933. The reversal of 88810009920 is 2990001888.

It is an interprime number because it is at equal distance from previous prime (88810009907) and next prime (88810009933).

It can be written as a sum of positive squares in 8 ways, for example, as 2782773504 + 86027236416 = 52752^2 + 293304^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81252894 + ... + 81253986.

Almost surely, 2^88810009920 is an apocalyptic number.

88810009920 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 88810009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155079816840).

88810009920 is an abundant number, since it is smaller than the sum of its proper divisors (221349623760).

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

88810009920 is a wasteful number, since it uses less digits than its factorization.

88810009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1522 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 88810009920 in words is "eighty-eight billion, eight hundred ten million, nine thousand, nine hundred twenty".