20405245512960 has 3456 divisors, whose sum is σ = 94974249517056. Its totient is φ = 3920347791360.

The previous prime is 20405245512959. The next prime is 20405245512989. The reversal of 20405245512960 is 6921554250402.

20405245512960 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 5 + 2 + 4 + 551 + 2 + 96 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 122187098797 + ... + 122187098963.

It is an arithmetic number, because the mean of its divisors is an integer number (27480974976).

Almost surely, 2^{20405245512960} is an apocalyptic number.

20405245512960 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 20405245512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47487124758528).

20405245512960 is an abundant number, since it is smaller than the sum of its proper divisors (74569004004096).

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

20405245512960 is a wasteful number, since it uses less digits than its factorization.

20405245512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 20405245512960 in words is "twenty trillion, four hundred five billion, two hundred forty-five million, five hundred twelve thousand, nine hundred sixty".