31742888603160 has 256 divisors, whose sum is σ = 108969372057600. Its totient is φ = 7246416195072.

The previous prime is 31742888603149. The next prime is 31742888603197. The reversal of 31742888603160 is 6130688824713.

It is a super-2 number, since 2×31742888603160² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31742888603160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507528911 + ... + 2507541569.

It is an arithmetic number, because the mean of its divisors is an integer number (425661609600).

Almost surely, 2^{31742888603160} is an apocalyptic number.

31742888603160 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 31742888603160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54484686028800).

31742888603160 is an abundant number, since it is smaller than the sum of its proper divisors (77226483454440).

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

31742888603160 is a wasteful number, since it uses less digits than its factorization.

31742888603160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16190 (or 16186 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 31742888603160 in words is "thirty-one trillion, seven hundred forty-two billion, eight hundred eighty-eight million, six hundred three thousand, one hundred sixty".