89099922240 has 1260 divisors, whose sum is σ = 386185679748. Its totient is φ = 19438755840.

The previous prime is 89099922221. The next prime is 89099922251. The reversal of 89099922240 is 4222999098.

It can be written as a sum of positive squares in 2 ways, for example, as 41254484544 + 47845437696 = 203112^2 + 218736^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a super-2 number, since 2×89099922240² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1220546844 + ... + 1220546916.

Almost surely, 2^89099922240 is an apocalyptic number.

89099922240 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 89099922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193092839874).

89099922240 is an abundant number, since it is smaller than the sum of its proper divisors (297085757508).

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

89099922240 is a wasteful number, since it uses less digits than its factorization.

89099922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 89099922240 in words is "eighty-nine billion, ninety-nine million, nine hundred twenty-two thousand, two hundred forty".