20951256268800 has 3024 divisors, whose sum is σ = 95414263596288. Its totient is φ = 4484549836800.

The previous prime is 20951256268769. The next prime is 20951256268829. The reversal of 20951256268800 is 886265215902.

20951256268800 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 1 + 2 + 5 + 626 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 910924185589 + ... + 910924185611.

Almost surely, 2^{20951256268800} is an apocalyptic number.

20951256268800 is a gapful number since it is divisible by the number (20) 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 20951256268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707131798144).

20951256268800 is an abundant number, since it is smaller than the sum of its proper divisors (74463007327488).

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

20951256268800 is an frugal number, since it uses more digits than its factorization.

20951256268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 20951256268800 in words is "twenty trillion, nine hundred fifty-one billion, two hundred fifty-six million, two hundred sixty-eight thousand, eight hundred".