20580412926096 has 135 divisors (see below), whose sum is σ = 57860889863673. Its totient is φ = 6828799057920.

The previous prime is 20580412926049. The next prime is 20580412926113. The reversal of 20580412926096 is 69062921408502.

The square root of 20580412926096 is 4536564.

It is a perfect power (a square), and thus also a powerful number.

20580412926096 is a `hidden beast` number, since 2 + 0 + 5 + 8 + 0 + 4 + 1 + 29 + 2 + 609 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20261341587600 + 319071338496 = 4501260^2 + 564864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13990762641 + ... + 13990764111.

Almost surely, 2^{20580412926096} is an apocalyptic number.

20580412926096 is the 4536564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20580412926096

20580412926096 is an abundant number, since it is smaller than the sum of its proper divisors (37280476937577).

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

20580412926096 is an frugal number, since it uses more digits than its factorization.

20580412926096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 20580412926096 in words is "twenty trillion, five hundred eighty billion, four hundred twelve million, nine hundred twenty-six thousand, ninety-six".