19500953472 has 640 divisors, whose sum is σ = 77961945600. Its totient is φ = 4673064960.

The previous prime is 19500953389. The next prime is 19500953497. The reversal of 19500953472 is 27435900591.

It is a happy number.

19500953472 is a `hidden beast` number, since 1 + 95 + 0 + 0 + 95 + 3 + 472 = 666.

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, 10377429 + ... + 10379307.

It is an arithmetic number, because the mean of its divisors is an integer number (121815540).

Almost surely, 2^19500953472 is an apocalyptic number.

19500953472 is a gapful number since it is divisible by the number (12) 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 19500953472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38980972800).

19500953472 is an abundant number, since it is smaller than the sum of its proper divisors (58460992128).

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

19500953472 is a wasteful number, since it uses less digits than its factorization.

19500953472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 19500953472 in words is "nineteen billion, five hundred million, nine hundred fifty-three thousand, four hundred seventy-two".