88989213600 has 864 divisors, whose sum is σ = 379275099840. Its totient is φ = 20075489280.

The previous prime is 88989213571. The next prime is 88989213601. The reversal of 88989213600 is 631298988.

It is a happy number.

88989213600 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 9 + 21 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (88989213601) 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, 87846694 + ... + 87847706.

It is an arithmetic number, because the mean of its divisors is an integer number (438975810).

Almost surely, 2^88989213600 is an apocalyptic number.

88989213600 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 88989213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189637549920).

88989213600 is an abundant number, since it is smaller than the sum of its proper divisors (290285886240).

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

88989213600 is a wasteful number, since it uses less digits than its factorization.

88989213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 88989213600 in words is "eighty-eight billion, nine hundred eighty-nine million, two hundred thirteen thousand, six hundred".