3157981805160 has 512 divisors, whose sum is σ = 12985918848000. Its totient is φ = 664751702016.

The previous prime is 3157981805137. The next prime is 3157981805177. The reversal of 3157981805160 is 615081897513.

It is a happy number.

3157981805160 is a `hidden beast` number, since 3 + 1 + 579 + 8 + 1 + 8 + 0 + 5 + 1 + 60 = 666.

3157981805160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3157981805160² (a number of 26 digits) contains 22 as substring.

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 = 3157981805097 and 3157981805106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42518136 + ... + 42592344.

It is an arithmetic number, because the mean of its divisors is an integer number (25363122750).

Almost surely, 2^{3157981805160} is an apocalyptic number.

3157981805160 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 3157981805160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492959424000).

3157981805160 is an abundant number, since it is smaller than the sum of its proper divisors (9827937042840).

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

3157981805160 is a wasteful number, since it uses less digits than its factorization.

3157981805160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74682 (or 74672 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 3157981805160 in words is "three trillion, one hundred fifty-seven billion, nine hundred eighty-one million, eight hundred five thousand, one hundred sixty".