89152818480 has 1600 divisors, whose sum is σ = 385014643200. Its totient is φ = 18858147840.

The previous prime is 89152818413. The next prime is 89152818493. The reversal of 89152818480 is 8481825198.

89152818480 is a `hidden beast` number, since 8 + 9 + 152 + 8 + 1 + 8 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1511064691 + ... + 1511064749.

It is an arithmetic number, because the mean of its divisors is an integer number (240634152).

Almost surely, 2^89152818480 is an apocalyptic number.

89152818480 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 89152818480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192507321600).

89152818480 is an abundant number, since it is smaller than the sum of its proper divisors (295861824720).

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

89152818480 is a wasteful number, since it uses less digits than its factorization.

89152818480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 89152818480 in words is "eighty-nine billion, one hundred fifty-two million, eight hundred eighteen thousand, four hundred eighty".