19990513444032 has 672 divisors, whose sum is σ = 65453300640000. Its totient is φ = 6026112847872.

The previous prime is 19990513444021. The next prime is 19990513444157. The reversal of 19990513444032 is 23044431509991.

19990513444032 is a `hidden beast` number, since 1 + 9 + 9 + 90 + 51 + 34 + 440 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 19990513444032.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 579434719 + ... + 579469217.

It is an arithmetic number, because the mean of its divisors is an integer number (97400745000).

Almost surely, 2^{19990513444032} is an apocalyptic number.

19990513444032 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 19990513444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32726650320000).

19990513444032 is an abundant number, since it is smaller than the sum of its proper divisors (45462787195968).

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

19990513444032 is a wasteful number, since it uses less digits than its factorization.

19990513444032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34635 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 19990513444032 in words is "nineteen trillion, nine hundred ninety billion, five hundred thirteen million, four hundred forty-four thousand, thirty-two".