20307849440256 has 396 divisors, whose sum is σ = 68366754178632. Its totient is φ = 5789088055296.

The previous prime is 20307849440251. The next prime is 20307849440377. The reversal of 20307849440256 is 65204494870302.

It is a happy number.

20307849440256 is a `hidden beast` number, since 2 + 0 + 30 + 78 + 4 + 94 + 402 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (20307849440251) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 200000956 + ... + 200102468.

Almost surely, 2^{20307849440256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20307849440256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34183377089316).

20307849440256 is an abundant number, since it is smaller than the sum of its proper divisors (48058904738376).

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

20307849440256 is a wasteful number, since it uses less digits than its factorization.

20307849440256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101996 (or 101968 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 20307849440256 in words is "twenty trillion, three hundred seven billion, eight hundred forty-nine million, four hundred forty thousand, two hundred fifty-six".