89391314880 has 1120 divisors, whose sum is σ = 391036795776. Its totient is φ = 18919194624.

The previous prime is 89391314869. The next prime is 89391314917. The reversal of 89391314880 is 8841319398.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225166842 + ... + 225167238.

Almost surely, 2^89391314880 is an apocalyptic number.

89391314880 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 89391314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195518397888).

89391314880 is an abundant number, since it is smaller than the sum of its proper divisors (301645480896).

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

89391314880 is a wasteful number, since it uses less digits than its factorization.

89391314880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 504 counting only the distinct ones).

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

The spelling of 89391314880 in words is "eighty-nine billion, three hundred ninety-one million, three hundred fourteen thousand, eight hundred eighty".