19428454195200 has 1512 divisors, whose sum is σ = 76169187661320. Its totient is φ = 4901791334400.

The previous prime is 19428454195133. The next prime is 19428454195237. The reversal of 19428454195200 is 259145482491.

19428454195200 is a `hidden beast` number, since 1 + 9 + 4 + 2 + 8 + 4 + 541 + 95 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 25530162820 + ... + 25530163580.

Almost surely, 2^{19428454195200} is an apocalyptic number.

19428454195200 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 19428454195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38084593830660).

19428454195200 is an abundant number, since it is smaller than the sum of its proper divisors (56740733466120).

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

19428454195200 is an frugal number, since it uses more digits than its factorization.

19428454195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 19428454195200 in words is "nineteen trillion, four hundred twenty-eight billion, four hundred fifty-four million, one hundred ninety-five thousand, two hundred".