20409079583520 has 1152 divisors, whose sum is σ = 76626321408000. Its totient is φ = 4930948915200.

The previous prime is 20409079583509. The next prime is 20409079583597. The reversal of 20409079583520 is 2538597090402.

20409079583520 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 9 + 0 + 7 + 9 + 583 + 52 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10861669941 + ... + 10861671819.

It is an arithmetic number, because the mean of its divisors is an integer number (66515904000).

Almost surely, 2^{20409079583520} is an apocalyptic number.

20409079583520 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 20409079583520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38313160704000).

20409079583520 is an abundant number, since it is smaller than the sum of its proper divisors (56217241824480).

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

20409079583520 is a wasteful number, since it uses less digits than its factorization.

20409079583520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2174 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 20409079583520 in words is "twenty trillion, four hundred nine billion, seventy-nine million, five hundred eighty-three thousand, five hundred twenty".