89816924160 has 384 divisors, whose sum is σ = 329767925760. Its totient is φ = 22535995392.

The previous prime is 89816924159. The next prime is 89816924161. The reversal of 89816924160 is 6142961898.

It is an interprime number because it is at equal distance from previous prime (89816924159) and next prime (89816924161).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 89816924097 and 89816924106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89816924161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25065729 + ... + 25069311.

It is an arithmetic number, because the mean of its divisors is an integer number (858770640).

Almost surely, 2^89816924160 is an apocalyptic number.

89816924160 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 89816924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164883962880).

89816924160 is an abundant number, since it is smaller than the sum of its proper divisors (239951001600).

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

89816924160 is a wasteful number, since it uses less digits than its factorization.

89816924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641 (or 3610 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 89816924160 in words is "eighty-nine billion, eight hundred sixteen million, nine hundred twenty-four thousand, one hundred sixty".