19934628120 has 320 divisors, whose sum is σ = 75455677440. Its totient is φ = 4676486400.

The previous prime is 19934628113. The next prime is 19934628167. The reversal of 19934628120 is 2182643991.

19934628120 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 4 + 628 + 12 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1095819 + ... + 1113861.

It is an arithmetic number, because the mean of its divisors is an integer number (235798992).

Almost surely, 2^19934628120 is an apocalyptic number.

19934628120 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 19934628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37727838720).

19934628120 is an abundant number, since it is smaller than the sum of its proper divisors (55521049320).

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

19934628120 is a wasteful number, since it uses less digits than its factorization.

19934628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18108 (or 18095 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 19934628120 in words is "nineteen billion, nine hundred thirty-four million, six hundred twenty-eight thousand, one hundred twenty".