89868977940096 has 160 divisors (see below), whose sum is σ = 267561495252480. Its totient is φ = 29943683320320.

The previous prime is 89868977940083. The next prime is 89868977940107. The reversal of 89868977940096 is 69004977986898.

It is a super-2 number, since 2×89868977940096² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89868977939988 and 89868977940015.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22754625 + ... + 26410431.

It is an arithmetic number, because the mean of its divisors is an integer number (1672259345328).

Almost surely, 2^{89868977940096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89868977940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133780747626240).

89868977940096 is an abundant number, since it is smaller than the sum of its proper divisors (177692517312384).

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

89868977940096 is a wasteful number, since it uses less digits than its factorization.

89868977940096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3658204 (or 3658183 counting only the distinct ones).

The product of its (nonzero) digits is 23702740992, while the sum is 90.

The spelling of 89868977940096 in words is "eighty-nine trillion, eight hundred sixty-eight billion, nine hundred seventy-seven million, nine hundred forty thousand, ninety-six".