19949007056832 has 896 divisors, whose sum is σ = 70794718740480. Its totient is φ = 5388103618560.

The previous prime is 19949007056779. The next prime is 19949007056837. The reversal of 19949007056832 is 23865070094991.

19949007056832 is a `hidden beast` number, since 1 + 99 + 490 + 0 + 7 + 0 + 56 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 19949007056832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19949007056837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15033162153 + ... + 15033163479.

It is an arithmetic number, because the mean of its divisors is an integer number (79011962880).

It is a 1-persistent number, because it is pandigital, but 2⋅19949007056832 = 39898014113664 is not.

Almost surely, 2^{19949007056832} is an apocalyptic number.

19949007056832 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 19949007056832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35397359370240).

19949007056832 is an abundant number, since it is smaller than the sum of its proper divisors (50845711683648).

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

19949007056832 is a wasteful number, since it uses less digits than its factorization.

19949007056832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 19949007056832 in words is "nineteen trillion, nine hundred forty-nine billion, seven million, fifty-six thousand, eight hundred thirty-two".