19134095920 has 80 divisors (see below), whose sum is σ = 47001991680. Its totient is φ = 7223904000.

The previous prime is 19134095879. The next prime is 19134095927. The reversal of 19134095920 is 2959043191.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×19134095920² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19134095927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388695 + ... + 435145.

It is an arithmetic number, because the mean of its divisors is an integer number (587524896).

Almost surely, 2^19134095920 is an apocalyptic number.

19134095920 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 19134095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500995840).

19134095920 is an abundant number, since it is smaller than the sum of its proper divisors (27867895760).

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

19134095920 is a wasteful number, since it uses less digits than its factorization.

19134095920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46754 (or 46748 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 43.

The spelling of 19134095920 in words is "nineteen billion, one hundred thirty-four million, ninety-five thousand, nine hundred twenty".