19012949968320 has 3584 divisors, whose sum is σ = 91844267212800. Its totient is φ = 3613040640000.

The previous prime is 19012949968307. The next prime is 19012949968321. The reversal of 19012949968320 is 2386994921091.

19012949968320 is a `hidden beast` number, since 1 + 90 + 1 + 29 + 499 + 6 + 8 + 32 + 0 = 666.

It is a super-2 number, since 2×19012949968320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19012949968321) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 47413840120 + ... + 47413840520.

Almost surely, 2^{19012949968320} is an apocalyptic number.

19012949968320 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 19012949968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45922133606400).

19012949968320 is an abundant number, since it is smaller than the sum of its proper divisors (72831317244480).

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

19012949968320 is a wasteful number, since it uses less digits than its factorization.

19012949968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 19012949968320 in words is "nineteen trillion, twelve billion, nine hundred forty-nine million, nine hundred sixty-eight thousand, three hundred twenty".