21792675953664 has 1056 divisors, whose sum is σ = 81716292403200. Its totient is φ = 5635567042560.

The previous prime is 21792675953647. The next prime is 21792675953681. The reversal of 21792675953664 is 46635957629712.

21792675953664 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 26 + 7 + 5 + 9 + 536 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (21792675953647) and next prime (21792675953681).

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is a junction number, because it is equal to n+sod(n) for n = 21792675953592 and 21792675953601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4579252917 + ... + 4579257675.

Almost surely, 2^{21792675953664} is an apocalyptic number.

21792675953664 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 21792675953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40858146201600).

21792675953664 is an abundant number, since it is smaller than the sum of its proper divisors (59923616449536).

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

21792675953664 is a wasteful number, since it uses less digits than its factorization.

21792675953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5021 counting only the distinct ones).

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

The spelling of 21792675953664 in words is "twenty-one trillion, seven hundred ninety-two billion, six hundred seventy-five million, nine hundred fifty-three thousand, six hundred sixty-four".