89608550400 has 1440 divisors, whose sum is σ = 371597466240. Its totient is φ = 21233664000.

The previous prime is 89608550363. The next prime is 89608550419. The reversal of 89608550400 is 405580698.

89608550400 is a `hidden beast` number, since 8 + 9 + 60 + 85 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 119 ways as a sum of consecutive naturals, for example, 2185574380 + ... + 2185574420.

It is an arithmetic number, because the mean of its divisors is an integer number (258053796).

Almost surely, 2^89608550400 is an apocalyptic number.

89608550400 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 89608550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185798733120).

89608550400 is an abundant number, since it is smaller than the sum of its proper divisors (281988915840).

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

89608550400 is a wasteful number, since it uses less digits than its factorization.

89608550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 89608550400 in words is "eighty-nine billion, six hundred eight million, five hundred fifty thousand, four hundred".