19760133120 has 704 divisors, whose sum is σ = 79321675776. Its totient is φ = 4087480320.

The previous prime is 19760133103. The next prime is 19760133157. The reversal of 19760133120 is 2133106791.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93649815 + ... + 93650025.

Almost surely, 2^19760133120 is an apocalyptic number.

19760133120 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 19760133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39660837888).

19760133120 is an abundant number, since it is smaller than the sum of its proper divisors (59561542656).

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

19760133120 is a wasteful number, since it uses less digits than its factorization.

19760133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The spelling of 19760133120 in words is "nineteen billion, seven hundred sixty million, one hundred thirty-three thousand, one hundred twenty".