88885364400 has 720 divisors, whose sum is σ = 361525432320. Its totient is φ = 19804262400.

The previous prime is 88885364383. The next prime is 88885364401. The reversal of 88885364400 is 446358888.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (88885364401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283978644 + ... + 283978956.

It is an arithmetic number, because the mean of its divisors is an integer number (502118656).

Almost surely, 2^88885364400 is an apocalyptic number.

88885364400 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 88885364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180762716160).

88885364400 is an abundant number, since it is smaller than the sum of its proper divisors (272640067920).

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

88885364400 is a wasteful number, since it uses less digits than its factorization.

88885364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 88885364400 in words is "eighty-eight billion, eight hundred eighty-five million, three hundred sixty-four thousand, four hundred".