19875360400 has 405 divisors, whose sum is σ = 59750915931. Its totient is φ = 6333949440.

The previous prime is 19875360389. The next prime is 19875360413. The reversal of 19875360400 is 406357891.

The square root of 19875360400 is 140980.

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 149719696 + 19725640704 = 12236^2 + 140448^2 .

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, 375006774 + ... + 375006826.

Almost surely, 2^19875360400 is an apocalyptic number.

19875360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19875360400 is the 140980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19875360400

19875360400 is an abundant number, since it is smaller than the sum of its proper divisors (39875555531).

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

19875360400 is a wasteful number, since it uses less digits than its factorization.

19875360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 19875360400 in words is "nineteen billion, eight hundred seventy-five million, three hundred sixty thousand, four hundred".