89951920080 has 320 divisors, whose sum is σ = 312795979776. Its totient is φ = 21196800000.

The previous prime is 89951920049. The next prime is 89951920109. The reversal of 89951920080 is 8002915998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18733680 + ... + 18738480.

Almost surely, 2^89951920080 is an apocalyptic number.

89951920080 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 89951920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156397989888).

89951920080 is an abundant number, since it is smaller than the sum of its proper divisors (222844059696).

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

89951920080 is a wasteful number, since it uses less digits than its factorization.

89951920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 51.

The spelling of 89951920080 in words is "eighty-nine billion, nine hundred fifty-one million, nine hundred twenty thousand, eighty".