88864794869760 has 3360 divisors, whose sum is σ = 406074317002200. Its totient is φ = 18492652781568.

The previous prime is 88864794869743. The next prime is 88864794869777. The reversal of 88864794869760 is 6796849746888.

It is a happy number.

88864794869760 is a `hidden beast` number, since 8 + 8 + 8 + 6 + 479 + 4 + 8 + 69 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (88864794869743) and next prime (88864794869777).

It can be written as a sum of positive squares in 4 ways, for example, as 58441009987584 + 30423784882176 = 7644672^2 + 5515776^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1217325957084 + ... + 1217325957156.

Almost surely, 2^{88864794869760} is an apocalyptic number.

88864794869760 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 88864794869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203037158501100).

88864794869760 is an abundant number, since it is smaller than the sum of its proper divisors (317209522132440).

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

88864794869760 is an frugal number, since it uses more digits than its factorization.

88864794869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 56184274944, while the sum is 90.

The spelling of 88864794869760 in words is "eighty-eight trillion, eight hundred sixty-four billion, seven hundred ninety-four million, eight hundred sixty-nine thousand, seven hundred sixty".