19991149360 has 480 divisors, whose sum is σ = 60736737600. Its totient is φ = 6061547520.

The previous prime is 19991149357. The next prime is 19991149379. The reversal of 19991149360 is 6394119991.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 19991149298 and 19991149307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183404986 + ... + 183405094.

It is an arithmetic number, because the mean of its divisors is an integer number (126534870).

Almost surely, 2^19991149360 is an apocalyptic number.

19991149360 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 19991149360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30368368800).

19991149360 is an abundant number, since it is smaller than the sum of its proper divisors (40745588240).

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

19991149360 is a wasteful number, since it uses less digits than its factorization.

19991149360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 52.

The spelling of 19991149360 in words is "nineteen billion, nine hundred ninety-one million, one hundred forty-nine thousand, three hundred sixty".