20775947428096 has 81 divisors (see below), whose sum is σ = 48242657089389. Its totient is φ = 8903758682112.

The previous prime is 20775947428063. The next prime is 20775947428123. The reversal of 20775947428096 is 69082474957702.

The square root of 20775947428096 is 4558064.

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

It can be written as a sum of positive squares in only one way, i.e., 172191801600 + 20603755626496 = 414960^2 + 4539136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 510482820 + ... + 510523516.

Almost surely, 2^{20775947428096} is an apocalyptic number.

20775947428096 is the 4558064-th square number.

It is an amenable number.

20775947428096 is an abundant number, since it is smaller than the sum of its proper divisors (27466709661293).

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

20775947428096 is an frugal number, since it uses more digits than its factorization.

20775947428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81424 (or 40706 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 70.

The spelling of 20775947428096 in words is "twenty trillion, seven hundred seventy-five billion, nine hundred forty-seven million, four hundred twenty-eight thousand, ninety-six".