88304974560 has 576 divisors, whose sum is σ = 361110597120. Its totient is φ = 19397283840.

The previous prime is 88304974543. The next prime is 88304974621. The reversal of 88304974560 is 6547940388.

88304974560 is a `hidden beast` number, since 8 + 8 + 3 + 0 + 4 + 9 + 74 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 88304974497 and 88304974506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6915702 + ... + 6928458.

It is an arithmetic number, because the mean of its divisors is an integer number (626928120).

Almost surely, 2^88304974560 is an apocalyptic number.

88304974560 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 88304974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180555298560).

88304974560 is an abundant number, since it is smaller than the sum of its proper divisors (272805622560).

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

88304974560 is a wasteful number, since it uses less digits than its factorization.

88304974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 88304974560 in words is "eighty-eight billion, three hundred four million, nine hundred seventy-four thousand, five hundred sixty".