19979229600 has 1296 divisors, whose sum is σ = 87525023040. Its totient is φ = 4257792000.

The previous prime is 19979229553. The next prime is 19979229607. The reversal of 19979229600 is 692297991.

19979229600 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 9 + 2 + 29 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19979229607) 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 215 ways as a sum of consecutive naturals, for example, 281397565 + ... + 281397635.

It is an arithmetic number, because the mean of its divisors is an integer number (67534740).

Almost surely, 2^19979229600 is an apocalyptic number.

19979229600 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 19979229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43762511520).

19979229600 is an abundant number, since it is smaller than the sum of its proper divisors (67545793440).

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

19979229600 is a wasteful number, since it uses less digits than its factorization.

19979229600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 19979229600 in words is "nineteen billion, nine hundred seventy-nine million, two hundred twenty-nine thousand, six hundred".