19772859456 has 567 divisors, whose sum is σ = 70740326007. Its totient is φ = 5467150080.

The previous prime is 19772859391. The next prime is 19772859473. The reversal of 19772859456 is 65495827791.

The square root of 19772859456 is 140616.

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

19772859456 is a `hidden beast` number, since 19 + 7 + 7 + 28 + 594 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (38102400) is a multiple of the sum of its prime factors (112).

It is a junction number, because it is equal to n+sod(n) for n = 19772859393 and 19772859402.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 637834161 + ... + 637834191.

Almost surely, 2^19772859456 is an apocalyptic number.

19772859456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19772859456 is the 140616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19772859456

19772859456 is an abundant number, since it is smaller than the sum of its proper divisors (50967466551).

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

19772859456 is an frugal number, since it uses more digits than its factorization.

19772859456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 43 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 19772859456 in words is "nineteen billion, seven hundred seventy-two million, eight hundred fifty-nine thousand, four hundred fifty-six".