19825766416 has 15 divisors (see below), whose sum is σ = 38413513693. Its totient is φ = 9912601600.

The previous prime is 19825766369. The next prime is 19825766473. The reversal of 19825766416 is 61466752891.

The square root of 19825766416 is 140804.

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., 11449856016 + 8375910400 = 107004^2 + 91520^2 .

It is a super-2 number, since 2×19825766416² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 545616 + ... + 580816.

Almost surely, 2^19825766416 is an apocalyptic number.

19825766416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19825766416 is the 140804-th square number.

It is an amenable number.

19825766416 is a deficient number, since it is larger than the sum of its proper divisors (18587747277).

19825766416 is an frugal number, since it uses more digits than its factorization.

19825766416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70410 (or 35203 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 55.

The spelling of 19825766416 in words is "nineteen billion, eight hundred twenty-five million, seven hundred sixty-six thousand, four hundred sixteen".