19973569872400 has 225 divisors, whose sum is σ = 50734359513501. Its totient is φ = 7556704064640.

The previous prime is 19973569872383. The next prime is 19973569872409. The reversal of 19973569872400 is 427896537991.

It is a happy number.

The square root of 19973569872400 is 4469180.

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., 7190485154064 + 12783084718336 = 2681508^2 + 3575344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19973569872400.

It is not an unprimeable number, because it can be changed into a prime (19973569872409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32267479291 + ... + 32267479909.

It is a 1-persistent number, because it is pandigital, but 2⋅19973569872400 = 39947139744800 is not.

Almost surely, 2^{19973569872400} is an apocalyptic number.

19973569872400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19973569872400 is the 4469180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19973569872400

19973569872400 is an abundant number, since it is smaller than the sum of its proper divisors (30760789641101).

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

19973569872400 is an frugal number, since it uses more digits than its factorization.

19973569872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 70.

The spelling of 19973569872400 in words is "nineteen trillion, nine hundred seventy-three billion, five hundred sixty-nine million, eight hundred seventy-two thousand, four hundred".