89847152640 has 720 divisors, whose sum is σ = 372049624800. Its totient is φ = 20511719424.

The previous prime is 89847152623. The next prime is 89847152653. The reversal of 89847152640 is 4625174898.

It is a happy number.

89847152640 is a `hidden beast` number, since 8 + 9 + 8 + 4 + 71 + 526 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 47 ways as a sum of consecutive naturals, for example, 108379746 + ... + 108380574.

It is an arithmetic number, because the mean of its divisors is an integer number (516735590).

Almost surely, 2^89847152640 is an apocalyptic number.

89847152640 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 89847152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186024812400).

89847152640 is an abundant number, since it is smaller than the sum of its proper divisors (282202472160).

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

89847152640 is an equidigital number, since it uses as much as digits as its factorization.

89847152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 89847152640 in words is "eighty-nine billion, eight hundred forty-seven million, one hundred fifty-two thousand, six hundred forty".