20976092907264 has 432 divisors, whose sum is σ = 69726947472000. Its totient is φ = 5997818880000.

The previous prime is 20976092907223. The next prime is 20976092907307. The reversal of 20976092907264 is 46270929067902.

20976092907264 is a `hidden beast` number, since 20 + 9 + 7 + 60 + 9 + 290 + 7 + 264 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120778762 + ... + 120952310.

It is an arithmetic number, because the mean of its divisors is an integer number (161404971000).

Almost surely, 2^{20976092907264} is an apocalyptic number.

20976092907264 is a gapful number since it is divisible by the number (24) 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 20976092907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34863473736000).

20976092907264 is an abundant number, since it is smaller than the sum of its proper divisors (48750854564736).

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

20976092907264 is a wasteful number, since it uses less digits than its factorization.

20976092907264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173852 (or 173835 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 20976092907264 in words is "twenty trillion, nine hundred seventy-six billion, ninety-two million, nine hundred seven thousand, two hundred sixty-four".