19916377800 has 384 divisors, whose sum is σ = 69972664320. Its totient is φ = 4642560000.

The previous prime is 19916377781. The next prime is 19916377801. The reversal of 19916377800 is 877361991.

It is not an unprimeable number, because it can be changed into a prime (19916377801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 63630444 + ... + 63630756.

It is an arithmetic number, because the mean of its divisors is an integer number (182220480).

Almost surely, 2^19916377800 is an apocalyptic number.

19916377800 is a gapful number since it is divisible by the number (10) 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 19916377800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34986332160).

19916377800 is an abundant number, since it is smaller than the sum of its proper divisors (50056286520).

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

19916377800 is a wasteful number, since it uses less digits than its factorization.

19916377800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 51.

The spelling of 19916377800 in words is "nineteen billion, nine hundred sixteen million, three hundred seventy-seven thousand, eight hundred".