20926567621440 has 672 divisors, whose sum is σ = 78381284436000. Its totient is φ = 5093929451520.

The previous prime is 20926567621387. The next prime is 20926567621471. The reversal of 20926567621440 is 4412676562902.

20926567621440 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 6 + 5 + 6 + 7 + 621 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14893609882176 + 6032957739264 = 3859224^2 + 2456208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1277482050 + ... + 1277498430.

It is an arithmetic number, because the mean of its divisors is an integer number (116638816125).

Almost surely, 2^{20926567621440} is an apocalyptic number.

20926567621440 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 20926567621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39190642218000).

20926567621440 is an abundant number, since it is smaller than the sum of its proper divisors (57454716814560).

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

20926567621440 is a wasteful number, since it uses less digits than its factorization.

20926567621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16795 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 20926567621440 in words is "twenty trillion, nine hundred twenty-six billion, five hundred sixty-seven million, six hundred twenty-one thousand, four hundred forty".