31191367680000 has 1520 divisors, whose sum is σ = 126181704179520. Its totient is φ = 7549747200000.

The previous prime is 31191367679993. The next prime is 31191367680041. The reversal of 31191367680000 is 8676319113.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48660479680 + ... + 48660480320.

Almost surely, 2^{31191367680000} is an apocalyptic number.

31191367680000 is a gapful number since it is divisible by the number (30) 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 31191367680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63090852089760).

31191367680000 is an abundant number, since it is smaller than the sum of its proper divisors (94990336499520).

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

31191367680000 is an frugal number, since it uses more digits than its factorization.

31191367680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 31191367680000 in words is "thirty-one trillion, one hundred ninety-one billion, three hundred sixty-seven million, six hundred eighty thousand".