8088084416000 has 80 divisors (see below), whose sum is σ = 20168144156160. Its totient is φ = 3235233740800.

The previous prime is 8088084415973. The next prime is 8088084416053. The reversal of 8088084416000 is 6144808808.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8088084416000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63124160 + ... + 63252159.

It is an arithmetic number, because the mean of its divisors is an integer number (252101801952).

Almost surely, 2^{8088084416000} is an apocalyptic number.

8088084416000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8088084416000 is an abundant number, since it is smaller than the sum of its proper divisors (12080059740160).

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

8088084416000 is an equidigital number, since it uses as much as digits as its factorization.

8088084416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126376352 (or 126376326 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

The spelling of 8088084416000 in words is "eight trillion, eighty-eight billion, eighty-four million, four hundred sixteen thousand".