20957395447296 has 2880 divisors, whose sum is σ = 84504016396800. Its totient is φ = 4952539791360.

The previous prime is 20957395447249. The next prime is 20957395447333. The reversal of 20957395447296 is 69274459375902.

20957395447296 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 7 + 3 + 9 + 544 + 72 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 216055623120 + ... + 216055623216.

It is an arithmetic number, because the mean of its divisors is an integer number (29341672360).

Almost surely, 2^{20957395447296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20957395447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42252008198400).

20957395447296 is an abundant number, since it is smaller than the sum of its proper divisors (63546620949504).

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

20957395447296 is a wasteful number, since it uses less digits than its factorization.

20957395447296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 20957395447296 in words is "twenty trillion, nine hundred fifty-seven billion, three hundred ninety-five million, four hundred forty-seven thousand, two hundred ninety-six".