20256120976 has 405 divisors, whose sum is σ = 54897320331. Its totient is φ = 7214118912.

The previous prime is 20256120961. The next prime is 20256120979. The reversal of 20256120976 is 67902165202.

The square root of 20256120976 is 142324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 182898576 + 20073222400 = 13524^2 + 141680^2 .

It is not an unprimeable number, because it can be changed into a prime (20256120979) 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 80 ways as a sum of consecutive naturals, for example, 880700901 + ... + 880700923.

Almost surely, 2^20256120976 is an apocalyptic number.

20256120976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20256120976 is the 142324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20256120976

20256120976 is an abundant number, since it is smaller than the sum of its proper divisors (34641199355).

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

20256120976 is a wasteful number, since it uses less digits than its factorization.

20256120976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 20256120976 in words is "twenty billion, two hundred fifty-six million, one hundred twenty thousand, nine hundred seventy-six".