20456258106960 has 1440 divisors, whose sum is σ = 78546900676608. Its totient is φ = 4739572776960.

The previous prime is 20456258106881. The next prime is 20456258106961. The reversal of 20456258106960 is 6960185265402.

20456258106960 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 625 + 8 + 1 + 0 + 6 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20456258106897 and 20456258106906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20456258106961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 90115674367 + ... + 90115674593.

Almost surely, 2^{20456258106960} is an apocalyptic number.

20456258106960 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 20456258106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39273450338304).

20456258106960 is an abundant number, since it is smaller than the sum of its proper divisors (58090642569648).

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

20456258106960 is a wasteful number, since it uses less digits than its factorization.

20456258106960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 461 counting only the distinct ones).

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

The spelling of 20456258106960 in words is "twenty trillion, four hundred fifty-six billion, two hundred fifty-eight million, one hundred six thousand, nine hundred sixty".