89557332480 has 1600 divisors, whose sum is σ = 410682286080. Its totient is φ = 18114969600.

The previous prime is 89557332461. The next prime is 89557332481. The reversal of 89557332480 is 8423375598.

89557332480 is a `hidden beast` number, since 8 + 9 + 557 + 3 + 3 + 2 + 4 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (89557332481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1133637081 + ... + 1133637159.

Almost surely, 2^89557332480 is an apocalyptic number.

89557332480 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 89557332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205341143040).

89557332480 is an abundant number, since it is smaller than the sum of its proper divisors (321124953600).

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

89557332480 is a wasteful number, since it uses less digits than its factorization.

89557332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

It can be divided in two parts, 895 and 57332480, that added together give a palindrome (57333375).

The spelling of 89557332480 in words is "eighty-nine billion, five hundred fifty-seven million, three hundred thirty-two thousand, four hundred eighty".