89122197600 has 432 divisors, whose sum is σ = 326019133440. Its totient is φ = 22884940800.

The previous prime is 89122197599. The next prime is 89122197607. The reversal of 89122197600 is 679122198.

89122197600 is a `hidden beast` number, since 8 + 9 + 1 + 22 + 19 + 7 + 600 = 666.

It is a super-2 number, since 2×89122197600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89122197607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50665521 + ... + 50667279.

It is an arithmetic number, because the mean of its divisors is an integer number (754673920).

Almost surely, 2^89122197600 is an apocalyptic number.

89122197600 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 89122197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163009566720).

89122197600 is an abundant number, since it is smaller than the sum of its proper divisors (236896935840).

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

89122197600 is a wasteful number, since it uses less digits than its factorization.

89122197600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 89122197600 in words is "eighty-nine billion, one hundred twenty-two million, one hundred ninety-seven thousand, six hundred".