20694296838528 has 256 divisors, whose sum is σ = 61957353427200. Its totient is φ = 6798795264000.

The previous prime is 20694296838517. The next prime is 20694296838541. The reversal of 20694296838528 is 82583869249602.

20694296838528 is a `hidden beast` number, since 2 + 0 + 6 + 9 + 4 + 2 + 9 + 68 + 38 + 528 = 666.

It is a super-2 number, since 2×20694296838528² (a number of 27 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 366041623 + ... + 366098153.

It is an arithmetic number, because the mean of its divisors is an integer number (242020911825).

Almost surely, 2^{20694296838528} 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 20694296838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30978676713600).

20694296838528 is an abundant number, since it is smaller than the sum of its proper divisors (41263056588672).

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

20694296838528 is a wasteful number, since it uses less digits than its factorization.

20694296838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58078 (or 58060 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 20694296838528 in words is "twenty trillion, six hundred ninety-four billion, two hundred ninety-six million, eight hundred thirty-eight thousand, five hundred twenty-eight".