89380415520 has 576 divisors, whose sum is σ = 348266096640. Its totient is φ = 21657715200.

The previous prime is 89380415513. The next prime is 89380415533. The reversal of 89380415520 is 2551408398.

89380415520 is a `hidden beast` number, since 8 + 9 + 3 + 80 + 41 + 5 + 520 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42339265 + ... + 42341375.

It is an arithmetic number, because the mean of its divisors is an integer number (604628640).

Almost surely, 2^89380415520 is an apocalyptic number.

89380415520 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 89380415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174133048320).

89380415520 is an abundant number, since it is smaller than the sum of its proper divisors (258885681120).

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

89380415520 is a wasteful number, since it uses less digits than its factorization.

89380415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 89380415520 in words is "eighty-nine billion, three hundred eighty million, four hundred fifteen thousand, five hundred twenty".