88486332480 has 1008 divisors, whose sum is σ = 385131015360. Its totient is φ = 18481913856.

The previous prime is 88486332377. The next prime is 88486332503. The reversal of 88486332480 is 8423368488.

88486332480 is a `hidden beast` number, since 8 + 84 + 86 + 3 + 3 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×88486332480² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255003667 + ... + 255004013.

It is an arithmetic number, because the mean of its divisors is an integer number (382074420).

Almost surely, 2^88486332480 is an apocalyptic number.

88486332480 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 88486332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192565507680).

88486332480 is an abundant number, since it is smaller than the sum of its proper divisors (296644682880).

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

88486332480 is a wasteful number, since it uses less digits than its factorization.

88486332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 88486332480 in words is "eighty-eight billion, four hundred eighty-six million, three hundred thirty-two thousand, four hundred eighty".