20541034816560 has 240 divisors, whose sum is σ = 75159182733600. Its totient is φ = 5155396816896.

The previous prime is 20541034816553. The next prime is 20541034816591. The reversal of 20541034816560 is 6561843014502.

20541034816560 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 1 + 0 + 3 + 4 + 81 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20541034816560² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 15828595 + ... + 17077074.

It is an arithmetic number, because the mean of its divisors is an integer number (313163261390).

Almost surely, 2^{20541034816560} is an apocalyptic number.

20541034816560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20541034816560 is an abundant number, since it is smaller than the sum of its proper divisors (54618147917040).

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

20541034816560 is a wasteful number, since it uses less digits than its factorization.

20541034816560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32905725 (or 32905696 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 20541034816560 in words is "twenty trillion, five hundred forty-one billion, thirty-four million, eight hundred sixteen thousand, five hundred sixty".