20505414045600 has 216 divisors, whose sum is σ = 78880599880992. Its totient is φ = 4971009446400.

The previous prime is 20505414045593. The next prime is 20505414045617. The reversal of 20505414045600 is 654041450502.

20505414045600 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 5 + 4 + 1 + 4 + 0 + 45 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129374172 + ... + 129532571.

It is an arithmetic number, because the mean of its divisors is an integer number (365187962412).

Almost surely, 2^{20505414045600} is an apocalyptic number.

20505414045600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20505414045600 is an abundant number, since it is smaller than the sum of its proper divisors (58375185835392).

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

20505414045600 is a wasteful number, since it uses less digits than its factorization.

20505414045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258906780 (or 258906764 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 20505414045600 in words is "twenty trillion, five hundred five billion, four hundred fourteen million, forty-five thousand, six hundred".