88430552078400 has 1008 divisors, whose sum is σ = 360949768807680. Its totient is φ = 20114683084800.

The previous prime is 88430552078389. The next prime is 88430552078413. The reversal of 88430552078400 is 487025503488.

88430552078400 is a `hidden beast` number, since 8 + 8 + 4 + 3 + 0 + 5 + 520 + 78 + 40 + 0 = 666.

88430552078400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×88430552078400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19577272942 + ... + 19577277458.

Almost surely, 2^{88430552078400} is an apocalyptic number.

88430552078400 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 88430552078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180474884403840).

88430552078400 is an abundant number, since it is smaller than the sum of its proper divisors (272519216729280).

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

88430552078400 is a wasteful number, since it uses less digits than its factorization.

88430552078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5452 (or 5434 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 88430552078400 in words is "eighty-eight trillion, four hundred thirty billion, five hundred fifty-two million, seventy-eight thousand, four hundred".