19899882825984 has 432 divisors, whose sum is σ = 68448825768960. Its totient is φ = 5440436305920.

The previous prime is 19899882825959. The next prime is 19899882826027. The reversal of 19899882825984 is 48952828899891.

It is a happy number.

19899882825984 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 9 + 8 + 8 + 2 + 8 + 2 + 598 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19899882825894 and 19899882825903.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44273544 + ... + 44720760.

Almost surely, 2^{19899882825984} is an apocalyptic number.

19899882825984 is a gapful number since it is divisible by the number (14) 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 19899882825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224412884480).

19899882825984 is an abundant number, since it is smaller than the sum of its proper divisors (48548942942976).

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

19899882825984 is a wasteful number, since it uses less digits than its factorization.

19899882825984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447366 (or 447349 counting only the distinct ones).

The product of its digits is 17199267840, while the sum is 90.

The spelling of 19899882825984 in words is "nineteen trillion, eight hundred ninety-nine billion, eight hundred eighty-two million, eight hundred twenty-five thousand, nine hundred eighty-four".