19953740928 has 384 divisors, whose sum is σ = 61791387840. Its totient is φ = 5654118400.

The previous prime is 19953740903. The next prime is 19953740959. The reversal of 19953740928 is 82904735991.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145647676 + ... + 145647812.

Almost surely, 2^19953740928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19953740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30895693920).

19953740928 is an abundant number, since it is smaller than the sum of its proper divisors (41837646912).

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

19953740928 is a wasteful number, since it uses less digits than its factorization.

19953740928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 19953740928 in words is "nineteen billion, nine hundred fifty-three million, seven hundred forty thousand, nine hundred twenty-eight".