20796128970624 has 256 divisors, whose sum is σ = 70537563072000. Its totient is φ = 5908555763712.

The previous prime is 20796128970611. The next prime is 20796128970677. The reversal of 20796128970624 is 42607982169702.

20796128970624 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 612 + 8 + 9 + 7 + 0 + 6 + 2 + 4 = 666.

It is a super-4 number, since 4×20796128970624⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929172 + ... + 6731564.

It is an arithmetic number, because the mean of its divisors is an integer number (275537355750).

Almost surely, 2^{20796128970624} is an apocalyptic number.

20796128970624 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 20796128970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35268781536000).

20796128970624 is an abundant number, since it is smaller than the sum of its proper divisors (49741434101376).

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

20796128970624 is a wasteful number, since it uses less digits than its factorization.

20796128970624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802602 (or 4802584 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 20796128970624 in words is "twenty trillion, seven hundred ninety-six billion, one hundred twenty-eight million, nine hundred seventy thousand, six hundred twenty-four".