19368780998400 has 216 divisors, whose sum is σ = 71023347808560. Its totient is φ = 5165008220160.

The previous prime is 19368780998383. The next prime is 19368780998407. The reversal of 19368780998400 is 489908786391.

19368780998400 is a `hidden beast` number, since 1 + 9 + 3 + 68 + 78 + 0 + 9 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19368780998407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55871127 + ... + 56216726.

It is an arithmetic number, because the mean of its divisors is an integer number (328811795410).

Almost surely, 2^{19368780998400} is an apocalyptic number.

19368780998400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19368780998400 is an abundant number, since it is smaller than the sum of its proper divisors (51654566810160).

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

19368780998400 is a wasteful number, since it uses less digits than its factorization.

19368780998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112087888 (or 112087863 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 19368780998400 in words is "nineteen trillion, three hundred sixty-eight billion, seven hundred eighty million, nine hundred ninety-eight thousand, four hundred".