89761873920 has 512 divisors, whose sum is σ = 305609103360. Its totient is φ = 22460497920.

The previous prime is 89761873919. The next prime is 89761874009. The reversal of 89761873920 is 2937816798.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 655196092 + ... + 655196228.

It is an arithmetic number, because the mean of its divisors is an integer number (596892780).

Almost surely, 2^89761873920 is an apocalyptic number.

89761873920 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 89761873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152804551680).

89761873920 is an abundant number, since it is smaller than the sum of its proper divisors (215847229440).

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

89761873920 is a wasteful number, since it uses less digits than its factorization.

89761873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The spelling of 89761873920 in words is "eighty-nine billion, seven hundred sixty-one million, eight hundred seventy-three thousand, nine hundred twenty".