19450005120 has 1920 divisors, whose sum is σ = 94549593600. Its totient is φ = 3762339840.

The previous prime is 19450005119. The next prime is 19450005193. The reversal of 19450005120 is 2150005491.

19450005120 is a `hidden beast` number, since 1 + 94 + 500 + 0 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 627419505 + ... + 627419535.

It is an arithmetic number, because the mean of its divisors is an integer number (49244580).

Almost surely, 2^19450005120 is an apocalyptic number.

19450005120 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 19450005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47274796800).

19450005120 is an abundant number, since it is smaller than the sum of its proper divisors (75099588480).

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

19450005120 is a wasteful number, since it uses less digits than its factorization.

19450005120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 19450005120 in words is "nineteen billion, four hundred fifty million, five thousand, one hundred twenty".