19999514304 has 784 divisors, whose sum is σ = 78356033280. Its totient is φ = 4904478720.

The previous prime is 19999514287. The next prime is 19999514363. The reversal of 19999514304 is 40341599991.

It is a happy number.

19999514304 is a `hidden beast` number, since 1 + 9 + 9 + 99 + 514 + 30 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68257582 + ... + 68257874.

It is an arithmetic number, because the mean of its divisors is an integer number (99943920).

Almost surely, 2^19999514304 is an apocalyptic number.

19999514304 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 19999514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39178016640).

19999514304 is an abundant number, since it is smaller than the sum of its proper divisors (58356518976).

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

19999514304 is a wasteful number, since it uses less digits than its factorization.

19999514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 19999514304 in words is "nineteen billion, nine hundred ninety-nine million, five hundred fourteen thousand, three hundred four".