89121483360 has 1536 divisors, whose sum is σ = 405775319040. Its totient is φ = 17766604800.

The previous prime is 89121483337. The next prime is 89121483401. The reversal of 89121483360 is 6338412198.

89121483360 is a `hidden beast` number, since 8 + 91 + 21 + 483 + 3 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 865257069 + ... + 865257171.

It is an arithmetic number, because the mean of its divisors is an integer number (264176640).

Almost surely, 2^89121483360 is an apocalyptic number.

89121483360 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 89121483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202887659520).

89121483360 is an abundant number, since it is smaller than the sum of its proper divisors (316653835680).

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

89121483360 is a wasteful number, since it uses less digits than its factorization.

89121483360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 89121483360 in words is "eighty-nine billion, one hundred twenty-one million, four hundred eighty-three thousand, three hundred sixty".