89624605736880 has 960 divisors, whose sum is σ = 326056927592448. Its totient is φ = 22005837342720.

The previous prime is 89624605736863. The next prime is 89624605736921. The reversal of 89624605736880 is 8863750642698.

89624605736880 is a `hidden beast` number, since 8 + 9 + 6 + 2 + 4 + 605 + 7 + 3 + 6 + 8 + 8 + 0 = 666.

89624605736880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 89624605736799 and 89624605736808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53764009807 + ... + 53764011473.

Almost surely, 2^{89624605736880} is an apocalyptic number.

89624605736880 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 89624605736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163028463796224).

89624605736880 is an abundant number, since it is smaller than the sum of its proper divisors (236432321855568).

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

89624605736880 is a wasteful number, since it uses less digits than its factorization.

89624605736880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 89624605736880 in words is "eighty-nine trillion, six hundred twenty-four billion, six hundred five million, seven hundred thirty-six thousand, eight hundred eighty".