89811089280 has 768 divisors, whose sum is σ = 358638658560. Its totient is φ = 21290065920.

The previous prime is 89811089239. The next prime is 89811089281. The reversal of 89811089280 is 8298011898.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89811089281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80403282 + ... + 80404398.

It is an arithmetic number, because the mean of its divisors is an integer number (466977420).

Almost surely, 2^89811089280 is an apocalyptic number.

89811089280 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 89811089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179319329280).

89811089280 is an abundant number, since it is smaller than the sum of its proper divisors (268827569280).

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

89811089280 is a wasteful number, since it uses less digits than its factorization.

89811089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 89811089280 in words is "eighty-nine billion, eight hundred eleven million, eighty-nine thousand, two hundred eighty".