8610085080800 has 144 divisors (see below), whose sum is σ = 24142854758400. Its totient is φ = 2937194472960.

The previous prime is 8610085080799. The next prime is 8610085080823. The reversal of 8610085080800 is 80805800168.

It is a super-2 number, since 2×8610085080800² (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 23 ways as a sum of consecutive naturals, for example, 2748704 + ... + 4977503.

It is an arithmetic number, because the mean of its divisors is an integer number (167658713600).

Almost surely, 2^{8610085080800} is an apocalyptic number.

8610085080800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8610085080800 is an abundant number, since it is smaller than the sum of its proper divisors (15532769677600).

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

8610085080800 is a wasteful number, since it uses less digits than its factorization.

8610085080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7726433 (or 7726420 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 44.

The spelling of 8610085080800 in words is "eight trillion, six hundred ten billion, eighty-five million, eighty thousand, eight hundred".