19098840960 has 320 divisors, whose sum is σ = 69179378400. Its totient is φ = 5020323840.

The previous prime is 19098840953. The next prime is 19098840973. The reversal of 19098840960 is 6904889091.

19098840960 is a `hidden beast` number, since 1 + 90 + 98 + 8 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 19098840897 and 19098840906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3678046 + ... + 3683234.

Almost surely, 2^19098840960 is an apocalyptic number.

19098840960 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 19098840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34589689200).

19098840960 is an abundant number, since it is smaller than the sum of its proper divisors (50080537440).

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

19098840960 is an equidigital number, since it uses as much as digits as its factorization.

19098840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5270 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 19098840960 in words is "nineteen billion, ninety-eight million, eight hundred forty thousand, nine hundred sixty".