19015920000 has 1200 divisors, whose sum is σ = 87021972180. Its totient is φ = 3951360000.

The previous prime is 19015919999. The next prime is 19015920017. The reversal of 19015920000 is 2951091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1728719995 + ... + 1728720005.

Almost surely, 2^19015920000 is an apocalyptic number.

19015920000 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 19015920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43510986090).

19015920000 is an abundant number, since it is smaller than the sum of its proper divisors (68006052180).

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

19015920000 is an frugal number, since it uses more digits than its factorization.

19015920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The spelling of 19015920000 in words is "nineteen billion, fifteen million, nine hundred twenty thousand".