3157163953920 has 432 divisors, whose sum is σ = 10975247861760. Its totient is φ = 837931032576.

The previous prime is 3157163953871. The next prime is 3157163953927. The reversal of 3157163953920 is 293593617513.

3157163953920 is a `hidden beast` number, since 3 + 1 + 5 + 7 + 163 + 95 + 392 + 0 = 666.

It is a super-3 number, since 3×3157163953920³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3157163953927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4011643767 + ... + 4011644553.

Almost surely, 2^{3157163953920} is an apocalyptic number.

3157163953920 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 3157163953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487623930880).

3157163953920 is an abundant number, since it is smaller than the sum of its proper divisors (7818083907840).

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

3157163953920 is a wasteful number, since it uses less digits than its factorization.

3157163953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 54.

The spelling of 3157163953920 in words is "three trillion, one hundred fifty-seven billion, one hundred sixty-three million, nine hundred fifty-three thousand, nine hundred twenty".