19802057472 has 288 divisors, whose sum is σ = 60986419200. Its totient is φ = 6330175488.

The previous prime is 19802057449. The next prime is 19802057489. The reversal of 19802057472 is 27475020891.

It is a happy number.

19802057472 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 2 + 0 + 574 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44699683 + ... + 44700125.

It is an arithmetic number, because the mean of its divisors is an integer number (211758400).

Almost surely, 2^19802057472 is an apocalyptic number.

19802057472 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 19802057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30493209600).

19802057472 is an abundant number, since it is smaller than the sum of its proper divisors (41184361728).

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

19802057472 is a wasteful number, since it uses less digits than its factorization.

19802057472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 19802057472 in words is "nineteen billion, eight hundred two million, fifty-seven thousand, four hundred seventy-two".