88785768960 has 960 divisors, whose sum is σ = 373206113280. Its totient is φ = 19074908160.

The previous prime is 88785768959. The next prime is 88785768983. The reversal of 88785768960 is 6986758788.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191761689 + ... + 191762151.

It is an arithmetic number, because the mean of its divisors is an integer number (388756368).

Almost surely, 2^88785768960 is an apocalyptic number.

88785768960 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 88785768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186603056640).

88785768960 is an abundant number, since it is smaller than the sum of its proper divisors (284420344320).

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

88785768960 is a wasteful number, since it uses less digits than its factorization.

88785768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 72.

The spelling of 88785768960 in words is "eighty-eight billion, seven hundred eighty-five million, seven hundred sixty-eight thousand, nine hundred sixty".