19770481852801 has 27 divisors (see below), whose sum is σ = 21587874122619. Its totient is φ = 18102045466368.

The previous prime is 19770481852757. The next prime is 19770481852837. The reversal of 19770481852801 is 10825818407791.

The square root of 19770481852801 is 4446401.

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

It can be written as a sum of positive squares in 13 ways, for example, as 686165379201 + 19084316473600 = 828351^2 + 4368560^2 .

It is not a de Polignac number, because 19770481852801 - 2²⁹ = 19769944981889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19770481852801.

It is not an unprimeable number, because it can be changed into a prime (19770481852601) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2796782695 + ... + 2796789763.

Almost surely, 2^{19770481852801} is an apocalyptic number.

19770481852801 is the 4446401-st square number.

19770481852801 is the 2223201-st centered octagonal number.

It is an amenable number.

19770481852801 is a deficient number, since it is larger than the sum of its proper divisors (1817392269818).

19770481852801 is an frugal number, since it uses more digits than its factorization.

19770481852801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 61.

It can be divided in two parts, 1977048 and 1852801, that added together give a square (3829849 = 1957²).

The spelling of 19770481852801 in words is "nineteen trillion, seven hundred seventy billion, four hundred eighty-one million, eight hundred fifty-two thousand, eight hundred one".