19097921934 has 320 divisors, whose sum is σ = 56827330560. Its totient is φ = 4652536320.

The previous prime is 19097921827. The next prime is 19097921951. The reversal of 19097921934 is 43912979091.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11483187 + ... + 11484849.

It is an arithmetic number, because the mean of its divisors is an integer number (177585408).

Almost surely, 2^19097921934 is an apocalyptic number.

19097921934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19097921934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28413665280).

19097921934 is an abundant number, since it is smaller than the sum of its proper divisors (37729408626).

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

19097921934 is a wasteful number, since it uses less digits than its factorization.

19097921934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 19097921934 in words is "nineteen billion, ninety-seven million, nine hundred twenty-one thousand, nine hundred thirty-four".