19902145824 has 720 divisors, whose sum is σ = 70077934080. Its totient is φ = 5519923200.

The previous prime is 19902145819. The next prime is 19902145909. The reversal of 19902145824 is 42854120991.

It is a happy number.

19902145824 is a `hidden beast` number, since 199 + 0 + 2 + 1 + 458 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 19902145824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 223619572 + ... + 223619660.

It is an arithmetic number, because the mean of its divisors is an integer number (97330464).

Almost surely, 2^19902145824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19902145824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35038967040).

19902145824 is an abundant number, since it is smaller than the sum of its proper divisors (50175788256).

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

19902145824 is a wasteful number, since it uses less digits than its factorization.

19902145824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 19902145824 in words is "nineteen billion, nine hundred two million, one hundred forty-five thousand, eight hundred twenty-four".