20790467721 has 45 divisors (see below), whose sum is σ = 31993326981. Its totient is φ = 13454563968.

The previous prime is 20790467701. The next prime is 20790467771. The reversal of 20790467721 is 12776409702.

The square root of 20790467721 is 144189.

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 2595321 + 20787872400 = 1611^2 + 144180^2 .

It is not a de Polignac number, because 20790467721 - 2⁵ = 20790467689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20790467701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48014721 + ... + 48015153.

Almost surely, 2^20790467721 is an apocalyptic number.

20790467721 is the 144189-th square number.

20790467721 is the 72095-th centered octagonal number.

It is an amenable number.

20790467721 is a deficient number, since it is larger than the sum of its proper divisors (11202859260).

20790467721 is an frugal number, since it uses more digits than its factorization.

20790467721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

It can be divided in two parts, 207904 and 67721, that added together give a square (275625 = 525²).

The spelling of 20790467721 in words is "twenty billion, seven hundred ninety million, four hundred sixty-seven thousand, seven hundred twenty-one".