19097455104 has 1280 divisors, whose sum is σ = 79194931200. Its totient is φ = 4395368448.

The previous prime is 19097455099. The next prime is 19097455127. The reversal of 19097455104 is 40155479091.

19097455104 is a `hidden beast` number, since 1 + 9 + 0 + 97 + 4 + 551 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19097455104.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406328809 + ... + 406328855.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 2^19097455104 is an apocalyptic number.

19097455104 is a gapful number since it is divisible by the number (14) 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 19097455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39597465600).

19097455104 is an abundant number, since it is smaller than the sum of its proper divisors (60097476096).

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

19097455104 is a wasteful number, since it uses less digits than its factorization.

19097455104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 19097455104 in words is "nineteen billion, ninety-seven million, four hundred fifty-five thousand, one hundred four".