19713225830400 has 1560 divisors, whose sum is σ = 78054827871680. Its totient is φ = 4903224606720.

The previous prime is 19713225830383. The next prime is 19713225830471. The reversal of 19713225830400 is 403852231791.

It is a happy number.

19713225830400 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 3 + 22 + 583 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×19713225830400³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10558770267 + ... + 10558772133.

Almost surely, 2^{19713225830400} is an apocalyptic number.

19713225830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19713225830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39027413935840).

19713225830400 is an abundant number, since it is smaller than the sum of its proper divisors (58341602041280).

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

19713225830400 is a wasteful number, since it uses less digits than its factorization.

19713225830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 19713225830400 in words is "nineteen trillion, seven hundred thirteen billion, two hundred twenty-five million, eight hundred thirty thousand, four hundred".