8088096879360 has 576 divisors, whose sum is σ = 30370765824000. Its totient is φ = 2032579215360.

The previous prime is 8088096879353. The next prime is 8088096879367. The reversal of 8088096879360 is 639786908808.

It is an interprime number because it is at equal distance from previous prime (8088096879353) and next prime (8088096879367).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8088096879360² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8088096879367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125385996 + ... + 125450484.

It is an arithmetic number, because the mean of its divisors is an integer number (52727024000).

Almost surely, 2^{8088096879360} is an apocalyptic number.

8088096879360 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 8088096879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185382912000).

8088096879360 is an abundant number, since it is smaller than the sum of its proper divisors (22282668944640).

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

8088096879360 is a wasteful number, since it uses less digits than its factorization.

8088096879360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64729 (or 64709 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 8088096879360 in words is "eight trillion, eighty-eight billion, ninety-six million, eight hundred seventy-nine thousand, three hundred sixty".