20404509869520 has 640 divisors, whose sum is σ = 84570187161600. Its totient is φ = 4417366192128.

The previous prime is 20404509869477. The next prime is 20404509869533. The reversal of 20404509869520 is 2596890540402.

20404509869520 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 4 + 50 + 9 + 8 + 69 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2185334292 + ... + 2185343628.

It is an arithmetic number, because the mean of its divisors is an integer number (132140917440).

Almost surely, 2^{20404509869520} is an apocalyptic number.

20404509869520 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 20404509869520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42285093580800).

20404509869520 is an abundant number, since it is smaller than the sum of its proper divisors (64165677292080).

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

20404509869520 is a wasteful number, since it uses less digits than its factorization.

20404509869520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 16980 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 20404509869520 in words is "twenty trillion, four hundred four billion, five hundred nine million, eight hundred sixty-nine thousand, five hundred twenty".