3156852504960 has 1536 divisors, whose sum is σ = 14656708684800. Its totient is φ = 606221107200.

The previous prime is 3156852504959. The next prime is 3156852505021. The reversal of 3156852504960 is 694052586513.

3156852504960 is a `hidden beast` number, since 3 + 1 + 56 + 8 + 52 + 50 + 496 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3156852504897 and 3156852504906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 345497512 + ... + 345506648.

It is an arithmetic number, because the mean of its divisors is an integer number (9542128050).

Almost surely, 2^{3156852504960} is an apocalyptic number.

3156852504960 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 3156852504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328354342400).

3156852504960 is an abundant number, since it is smaller than the sum of its proper divisors (11499856179840).

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

3156852504960 is a wasteful number, since it uses less digits than its factorization.

3156852504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9225 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3156852504960 in words is "three trillion, one hundred fifty-six billion, eight hundred fifty-two million, five hundred four thousand, nine hundred sixty".