89813936160 has 384 divisors, whose sum is σ = 347686940160. Its totient is φ = 21510033408.

The previous prime is 89813936159. The next prime is 89813936161. The reversal of 89813936160 is 6163931898.

89813936160 is a `hidden beast` number, since 8 + 9 + 8 + 13 + 9 + 3 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (89813936159) and next prime (89813936161).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 89813936097 and 89813936106.

It is not an unprimeable number, because it can be changed into a prime (89813936161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2056309 + ... + 2099531.

It is an arithmetic number, because the mean of its divisors is an integer number (905434740).

Almost surely, 2^89813936160 is an apocalyptic number.

89813936160 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 89813936160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173843470080).

89813936160 is an abundant number, since it is smaller than the sum of its proper divisors (257873004000).

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

89813936160 is a wasteful number, since it uses less digits than its factorization.

89813936160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43297 (or 43283 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 89813936160 in words is "eighty-nine billion, eight hundred thirteen million, nine hundred thirty-six thousand, one hundred sixty".