19952403768 has 384 divisors, whose sum is σ = 64372838400. Its totient is φ = 5519923200.

The previous prime is 19952403761. The next prime is 19952403773. The reversal of 19952403768 is 86730425991.

It is a super-2 number, since 2×19952403768² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19952403761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50257746 + ... + 50258142.

It is an arithmetic number, because the mean of its divisors is an integer number (167637600).

It is a 1-persistent number, because it is pandigital, but 2⋅19952403768 = 39904807536 is not.

Almost surely, 2^19952403768 is an apocalyptic number.

19952403768 is a gapful number since it is divisible by the number (18) 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 19952403768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32186419200).

19952403768 is an abundant number, since it is smaller than the sum of its proper divisors (44420434632).

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

19952403768 is a wasteful number, since it uses less digits than its factorization.

19952403768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 19952403768 in words is "nineteen billion, nine hundred fifty-two million, four hundred three thousand, seven hundred sixty-eight".