88563814560 has 1152 divisors, whose sum is σ = 358598016000. Its totient is φ = 20369276928.

The previous prime is 88563814541. The next prime is 88563814561. The reversal of 88563814560 is 6541836588.

88563814560 is a `hidden beast` number, since 8 + 8 + 5 + 63 + 8 + 14 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 88563814497 and 88563814506.

It is not an unprimeable number, because it can be changed into a prime (88563814561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 995098996 + ... + 995099084.

It is an arithmetic number, because the mean of its divisors is an integer number (311283000).

Almost surely, 2^88563814560 is an apocalyptic number.

88563814560 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 88563814560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179299008000).

88563814560 is an abundant number, since it is smaller than the sum of its proper divisors (270034201440).

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

88563814560 is a wasteful number, since it uses less digits than its factorization.

88563814560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 88563814560 in words is "eighty-eight billion, five hundred sixty-three million, eight hundred fourteen thousand, five hundred sixty".