20272578290064 has 45 divisors (see below), whose sum is σ = 56735214063073. Its totient is φ = 6757508086656.

The previous prime is 20272578290051. The next prime is 20272578290077. The reversal of 20272578290064 is 46009287527202.

The square root of 20272578290064 is 4502508.

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

20272578290064 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 2 + 578 + 2 + 9 + 0 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (20272578290051) and next prime (20272578290077).

It can be written as a sum of positive squares in only one way, i.e., 12752698072464 + 7519880217600 = 3571092^2 + 2742240^2 .

It is a super-2 number, since 2×20272578290064² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53842492 + ... + 54217700.

Almost surely, 2^{20272578290064} is an apocalyptic number.

20272578290064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20272578290064 is the 4502508-th square number.

It is an amenable number.

20272578290064 is an abundant number, since it is smaller than the sum of its proper divisors (36462635773009).

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

20272578290064 is an frugal number, since it uses more digits than its factorization.

20272578290064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750432 (or 375214 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 20272578290064 in words is "twenty trillion, two hundred seventy-two billion, five hundred seventy-eight million, two hundred ninety thousand, sixty-four".