88517490336 has 384 divisors, whose sum is σ = 287348705280. Its totient is φ = 26285414400.

The previous prime is 88517490329. The next prime is 88517490361. The reversal of 88517490336 is 63309471588.

88517490336 is a `hidden beast` number, since 8 + 8 + 517 + 4 + 90 + 3 + 36 = 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 63 ways as a sum of consecutive naturals, for example, 157224391 + ... + 157224953.

It is an arithmetic number, because the mean of its divisors is an integer number (748303920).

Almost surely, 2^88517490336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88517490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143674352640).

88517490336 is an abundant number, since it is smaller than the sum of its proper divisors (198831214944).

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

88517490336 is a wasteful number, since it uses less digits than its factorization.

88517490336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 88517490336 in words is "eighty-eight billion, five hundred seventeen million, four hundred ninety thousand, three hundred thirty-six".