31356777960 has 384 divisors, whose sum is σ = 106991539200. Its totient is φ = 7958845440.

The previous prime is 31356777941. The next prime is 31356777961. The reversal of 31356777960 is 6977765313.

31356777960 is a `hidden beast` number, since 3 + 1 + 3 + 567 + 7 + 79 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31356777897 and 31356777906.

It is not an unprimeable number, because it can be changed into a prime (31356777961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 107019574 + ... + 107019866.

It is an arithmetic number, because the mean of its divisors is an integer number (278623800).

Almost surely, 2^31356777960 is an apocalyptic number.

31356777960 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 31356777960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53495769600).

31356777960 is an abundant number, since it is smaller than the sum of its proper divisors (75634761240).

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

31356777960 is a wasteful number, since it uses less digits than its factorization.

31356777960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 31356777960 in words is "thirty-one billion, three hundred fifty-six million, seven hundred seventy-seven thousand, nine hundred sixty".