19772854272 has 260 divisors, whose sum is σ = 60097006596. Its totient is φ = 6476267520.

The previous prime is 19772854247. The next prime is 19772854273. The reversal of 19772854272 is 27245827791.

19772854272 is a `hidden beast` number, since 1 + 9 + 7 + 7 + 28 + 542 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9142419456 + 10630434816 = 95616^2 + 103104^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19772854273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20237848 + ... + 20238824.

Almost surely, 2^19772854272 is an apocalyptic number.

19772854272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19772854272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30048503298).

19772854272 is an abundant number, since it is smaller than the sum of its proper divisors (40324152324).

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

19772854272 is an frugal number, since it uses more digits than its factorization.

19772854272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1043 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 19772854272 in words is "nineteen billion, seven hundred seventy-two million, eight hundred fifty-four thousand, two hundred seventy-two".