31134513988560 has 320 divisors, whose sum is σ = 100125525484800. Its totient is φ = 7993767591936.

The previous prime is 31134513988547. The next prime is 31134513988583. The reversal of 31134513988560 is 6588931543113.

It is a Cunningham number, because it is equal to 5579831²-1.

It is a super-2 number, since 2×31134513988560² (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 31134513988560.

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, 3883557672 + ... + 3883565688.

It is an arithmetic number, because the mean of its divisors is an integer number (312892267140).

Almost surely, 2^{31134513988560} is an apocalyptic number.

31134513988560 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 31134513988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50062762742400).

31134513988560 is an abundant number, since it is smaller than the sum of its proper divisors (68991011496240).

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

31134513988560 is a wasteful number, since it uses less digits than its factorization.

31134513988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9558 (or 9552 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 31134513988560 in words is "thirty-one trillion, one hundred thirty-four billion, five hundred thirteen million, nine hundred eighty-eight thousand, five hundred sixty".