19979132800 has 144 divisors (see below), whose sum is σ = 54250434000. Its totient is φ = 7264998400.

The previous prime is 19979132773. The next prime is 19979132807. The reversal of 19979132800 is 823197991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19979132807) 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 17 ways as a sum of consecutive naturals, for example, 361401 + ... + 412999.

It is an arithmetic number, because the mean of its divisors is an integer number (376739125).

Almost surely, 2^19979132800 is an apocalyptic number.

19979132800 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 19979132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125217000).

19979132800 is an abundant number, since it is smaller than the sum of its proper divisors (34271301200).

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

19979132800 is a wasteful number, since it uses less digits than its factorization.

19979132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51645 (or 51617 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 49.

The spelling of 19979132800 in words is "nineteen billion, nine hundred seventy-nine million, one hundred thirty-two thousand, eight hundred".