19290055948800 has 1440 divisors, whose sum is σ = 80353894021632. Its totient is φ = 4043261214720.

The previous prime is 19290055948789. The next prime is 19290055948921. The reversal of 19290055948800 is 884955009291.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3840343089 + ... + 3840348111.

Almost surely, 2^{19290055948800} is an apocalyptic number.

19290055948800 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 19290055948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176947010816).

19290055948800 is an abundant number, since it is smaller than the sum of its proper divisors (61063838072832).

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

19290055948800 is a wasteful number, since it uses less digits than its factorization.

19290055948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 60.

The spelling of 19290055948800 in words is "nineteen trillion, two hundred ninety billion, fifty-five million, nine hundred forty-eight thousand, eight hundred".