88761496320 has 864 divisors, whose sum is σ = 366412999680. Its totient is φ = 19415531520.

The previous prime is 88761496261. The next prime is 88761496321. The reversal of 88761496320 is 2369416788.

88761496320 is a `hidden beast` number, since 88 + 76 + 1 + 496 + 3 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (88761496321) 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, 211841071 + ... + 211841489.

It is an arithmetic number, because the mean of its divisors is an integer number (424089120).

Almost surely, 2^88761496320 is an apocalyptic number.

88761496320 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 88761496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183206499840).

88761496320 is an abundant number, since it is smaller than the sum of its proper divisors (277651503360).

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

88761496320 is a wasteful number, since it uses less digits than its factorization.

88761496320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 88761496320 in words is "eighty-eight billion, seven hundred sixty-one million, four hundred ninety-six thousand, three hundred twenty".