88058868480 has 864 divisors, whose sum is σ = 360868592448. Its totient is φ = 19582156800.

The previous prime is 88058868479. The next prime is 88058868487. The reversal of 88058868480 is 8486885088.

88058868480 is a `hidden beast` number, since 8 + 8 + 0 + 588 + 6 + 8 + 48 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (88058868487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88323342 + ... + 88324338.

It is an arithmetic number, because the mean of its divisors is an integer number (417671982).

Almost surely, 2^88058868480 is an apocalyptic number.

88058868480 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 88058868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180434296224).

88058868480 is an abundant number, since it is smaller than the sum of its proper divisors (272809723968).

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

88058868480 is a wasteful number, since it uses less digits than its factorization.

88058868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 63.

The spelling of 88058868480 in words is "eighty-eight billion, fifty-eight million, eight hundred sixty-eight thousand, four hundred eighty".