8131791961600 has 120 divisors (see below), whose sum is σ = 20488628900520. Its totient is φ = 3197585694720.

The previous prime is 8131791961567. The next prime is 8131791961621. The reversal of 8131791961600 is 61691971318.

It is a super-3 number, since 3×8131791961600³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4628667 + ... + 6139066.

It is an arithmetic number, because the mean of its divisors is an integer number (170738574171).

Almost surely, 2^{8131791961600} is an apocalyptic number.

8131791961600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8131791961600 is an abundant number, since it is smaller than the sum of its proper divisors (12356836938920).

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

8131791961600 is a wasteful number, since it uses less digits than its factorization.

8131791961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10767820 (or 10767799 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The spelling of 8131791961600 in words is "eight trillion, one hundred thirty-one billion, seven hundred ninety-one million, nine hundred sixty-one thousand, six hundred".