19117113974400 has 576 divisors, whose sum is σ = 69143938165440. Its totient is φ = 4639444992000.

The previous prime is 19117113974383. The next prime is 19117113974423. The reversal of 19117113974400 is 447931171191.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 19117113974400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115107420 + ... + 115273380.

It is an arithmetic number, because the mean of its divisors is an integer number (120041559315).

Almost surely, 2^{19117113974400} is an apocalyptic number.

19117113974400 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 19117113974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34571969082720).

19117113974400 is an abundant number, since it is smaller than the sum of its proper divisors (50026824191040).

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

19117113974400 is a wasteful number, since it uses less digits than its factorization.

19117113974400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166085 (or 166055 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 48.

The spelling of 19117113974400 in words is "nineteen trillion, one hundred seventeen billion, one hundred thirteen million, nine hundred seventy-four thousand, four hundred".