88099430400 has 252 divisors, whose sum is σ = 315579077502. Its totient is φ = 23492689920.

The previous prime is 88099430347. The next prime is 88099430411. The reversal of 88099430400 is 403499088.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 64329191424 + 23770238976 = 253632^2 + 154176^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1819302 + ... + 1867098.

Almost surely, 2^88099430400 is an apocalyptic number.

88099430400 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 88099430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157789538751).

88099430400 is an abundant number, since it is smaller than the sum of its proper divisors (227479647102).

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

88099430400 is a wasteful number, since it uses less digits than its factorization.

88099430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47839 (or 47807 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 88099430400 in words is "eighty-eight billion, ninety-nine million, four hundred thirty thousand, four hundred".