31380995160 has 256 divisors, whose sum is σ = 105793459200. Its totient is φ = 8273664000.

The previous prime is 31380995141. The next prime is 31380995167. The reversal of 31380995160 is 6159908313.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31380995167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54957675 + ... + 54958245.

It is an arithmetic number, because the mean of its divisors is an integer number (413255700).

Almost surely, 2^31380995160 is an apocalyptic number.

31380995160 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 31380995160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52896729600).

31380995160 is an abundant number, since it is smaller than the sum of its proper divisors (74412464040).

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

31380995160 is a wasteful number, since it uses less digits than its factorization.

31380995160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 31380995160 in words is "thirty-one billion, three hundred eighty million, nine hundred ninety-five thousand, one hundred sixty".