19715438131200 has 1728 divisors, whose sum is σ = 84501351567360. Its totient is φ = 4298047488000.

The previous prime is 19715438131187. The next prime is 19715438131229. The reversal of 19715438131200 is 213183451791.

19715438131200 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 5 + 438 + 1 + 3 + 1 + 200 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7099544212 + ... + 7099546988.

It is an arithmetic number, because the mean of its divisors is an integer number (48901245120).

Almost surely, 2^{19715438131200} is an apocalyptic number.

19715438131200 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 19715438131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42250675783680).

19715438131200 is an abundant number, since it is smaller than the sum of its proper divisors (64785913436160).

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

19715438131200 is a wasteful number, since it uses less digits than its factorization.

19715438131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2924 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 19715438131200 in words is "nineteen trillion, seven hundred fifteen billion, four hundred thirty-eight million, one hundred thirty-one thousand, two hundred".