31068342190080 has 864 divisors, whose sum is σ = 116865247852080. Its totient is φ = 7631888449536.

The previous prime is 31068342190051. The next prime is 31068342190111. The reversal of 31068342190080 is 8009124386013.

31068342190080 is a `hidden beast` number, since 3 + 1 + 0 + 68 + 3 + 421 + 90 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63795363597 + ... + 63795364083.

Almost surely, 2^{31068342190080} is an apocalyptic number.

31068342190080 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 31068342190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58432623926040).

31068342190080 is an abundant number, since it is smaller than the sum of its proper divisors (85796905662000).

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

31068342190080 is an frugal number, since it uses more digits than its factorization.

31068342190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 31068342190080 in words is "thirty-one trillion, sixty-eight billion, three hundred forty-two million, one hundred ninety thousand, eighty".