31160142720 has 1344 divisors, whose sum is σ = 137261563200. Its totient is φ = 6730407936.

The previous prime is 31160142701. The next prime is 31160142743. The reversal of 31160142720 is 2724106113.

31160142720 is a `hidden beast` number, since 3 + 11 + 601 + 4 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 662981737 + ... + 662981783.

Almost surely, 2^31160142720 is an apocalyptic number.

31160142720 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 31160142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68630781600).

31160142720 is an abundant number, since it is smaller than the sum of its proper divisors (106101420480).

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

31160142720 is an equidigital number, since it uses as much as digits as its factorization.

31160142720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 31160142720 its reverse (2724106113), we get a palindrome (33884248833).

The spelling of 31160142720 in words is "thirty-one billion, one hundred sixty million, one hundred forty-two thousand, seven hundred twenty".