3152896621056 has 1920 divisors, whose sum is σ = 12412705536000. Its totient is φ = 771387162624.

The previous prime is 3152896621051. The next prime is 3152896621081. The reversal of 3152896621056 is 6501266982513.

3152896621056 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 8 + 9 + 6 + 621 + 0 + 5 + 6 = 666.

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 = 3152896620993 and 3152896621011.

It is not an unprimeable number, because it can be changed into a prime (3152896621051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22682709435 + ... + 22682709573.

It is an arithmetic number, because the mean of its divisors is an integer number (6464950800).

Almost surely, 2^{3152896621056} is an apocalyptic number.

3152896621056 is a gapful number since it is divisible by the number (36) 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 3152896621056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206352768000).

3152896621056 is an abundant number, since it is smaller than the sum of its proper divisors (9259808914944).

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

3152896621056 is a wasteful number, since it uses less digits than its factorization.

3152896621056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3152896621056 in words is "three trillion, one hundred fifty-two billion, eight hundred ninety-six million, six hundred twenty-one thousand, fifty-six".