20409012115920 has 240 divisors, whose sum is σ = 71757990944640. Its totient is φ = 5191423663104.

The previous prime is 20409012115903. The next prime is 20409012115931. The reversal of 20409012115920 is 2951121090402.

20409012115920 is a `hidden beast` number, since 2 + 0 + 40 + 9 + 0 + 1 + 21 + 1 + 592 + 0 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4155172 + ... + 7621251.

It is an arithmetic number, because the mean of its divisors is an integer number (298991628936).

Almost surely, 2^{20409012115920} is an apocalyptic number.

20409012115920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20409012115920 is an abundant number, since it is smaller than the sum of its proper divisors (51348978828720).

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

20409012115920 is a wasteful number, since it uses less digits than its factorization.

20409012115920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11776554 (or 11776545 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 20409012115920 in words is "twenty trillion, four hundred nine billion, twelve million, one hundred fifteen thousand, nine hundred twenty".