89879716080 has 1080 divisors, whose sum is σ = 397444977072. Its totient is φ = 17998848000.

The previous prime is 89879716027. The next prime is 89879716081. The reversal of 89879716080 is 8061797898.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 89879715999 and 89879716017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89879716081) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 372944760 + ... + 372945000.

Almost surely, 2^89879716080 is an apocalyptic number.

89879716080 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 89879716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198722488536).

89879716080 is an abundant number, since it is smaller than the sum of its proper divisors (307565260992).

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

89879716080 is a wasteful number, since it uses less digits than its factorization.

89879716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 89879716080 in words is "eighty-nine billion, eight hundred seventy-nine million, seven hundred sixteen thousand, eighty".