19773984400 has 135 divisors (see below), whose sum is σ = 48662667291. Its totient is φ = 7721725440.

The previous prime is 19773984383. The next prime is 19773984421. The reversal of 19773984400 is 448937791.

The square root of 19773984400 is 140620.

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 4114965904 + 15659018496 = 64148^2 + 125136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 222179556 + ... + 222179644.

Almost surely, 2^19773984400 is an apocalyptic number.

19773984400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19773984400 is the 140620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19773984400

19773984400 is an abundant number, since it is smaller than the sum of its proper divisors (28888682891).

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

19773984400 is an frugal number, since it uses more digits than its factorization.

19773984400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 19773984400 in words is "nineteen billion, seven hundred seventy-three million, nine hundred eighty-four thousand, four hundred".