20858412072960 has 2376 divisors, whose sum is σ = 95289922117656. Its totient is φ = 4334215495680.

The previous prime is 20858412072947. The next prime is 20858412072983. The reversal of 20858412072960 is 6927021485802.

20858412072960 is a `hidden beast` number, since 20 + 8 + 58 + 412 + 0 + 72 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2376).

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

It is a junction number, because it is equal to n+sod(n) for n = 20858412072897 and 20858412072906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 1896219279355 + ... + 1896219279365.

Almost surely, 2^{20858412072960} is an apocalyptic number.

20858412072960 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 20858412072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47644961058828).

20858412072960 is an abundant number, since it is smaller than the sum of its proper divisors (74431510044696).

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

20858412072960 is an frugal number, since it uses more digits than its factorization.

20858412072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 20858412072960 in words is "twenty trillion, eight hundred fifty-eight billion, four hundred twelve million, seventy-two thousand, nine hundred sixty".