19879113600 has 288 divisors, whose sum is σ = 71105158800. Its totient is φ = 5288263680.

The previous prime is 19879113593. The next prime is 19879113613. The reversal of 19879113600 is 631197891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21397936 + ... + 21398864.

Almost surely, 2^19879113600 is an apocalyptic number.

19879113600 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 19879113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35552579400).

19879113600 is an abundant number, since it is smaller than the sum of its proper divisors (51226045200).

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

19879113600 is a wasteful number, since it uses less digits than its factorization.

19879113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 19879113600 in words is "nineteen billion, eight hundred seventy-nine million, one hundred thirteen thousand, six hundred".