31493568960 has 448 divisors, whose sum is σ = 134447523840. Its totient is φ = 6774865920.

The previous prime is 31493568941. The next prime is 31493569033. The reversal of 31493568960 is 6986539413.

31493568960 is a `hidden beast` number, since 3 + 1 + 493 + 5 + 68 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 31493568897 and 31493568906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012845 + ... + 1043475.

It is an arithmetic number, because the mean of its divisors is an integer number (300106080).

Almost surely, 2^31493568960 is an apocalyptic number.

31493568960 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 31493568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223761920).

31493568960 is an abundant number, since it is smaller than the sum of its proper divisors (102953954880).

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

31493568960 is a wasteful number, since it uses less digits than its factorization.

31493568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30681 (or 30665 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 31493568960 in words is "thirty-one billion, four hundred ninety-three million, five hundred sixty-eight thousand, nine hundred sixty".