88007318496 has 288 divisors, whose sum is σ = 277681255488. Its totient is φ = 26298286080.

The previous prime is 88007318461. The next prime is 88007318521. The reversal of 88007318496 is 69481370088.

88007318496 is a `hidden beast` number, since 8 + 80 + 0 + 73 + 1 + 8 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 28938736 + ... + 28941776.

It is an arithmetic number, because the mean of its divisors is an integer number (964171026).

Almost surely, 2^88007318496 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 88007318496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138840627744).

88007318496 is an abundant number, since it is smaller than the sum of its proper divisors (189673936992).

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

88007318496 is a wasteful number, since it uses less digits than its factorization.

88007318496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 88007318496 in words is "eighty-eight billion, seven million, three hundred eighteen thousand, four hundred ninety-six".