19874799360 has 576 divisors, whose sum is σ = 78458204160. Its totient is φ = 4731125760.

The previous prime is 19874799319. The next prime is 19874799367. The reversal of 19874799360 is 6399747891.

19874799360 is a `hidden beast` number, since 19 + 8 + 7 + 479 + 93 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19874799367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13926967 + ... + 13928393.

It is an arithmetic number, because the mean of its divisors is an integer number (136212160).

Almost surely, 2^19874799360 is an apocalyptic number.

19874799360 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 19874799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39229102080).

19874799360 is an abundant number, since it is smaller than the sum of its proper divisors (58583404800).

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

19874799360 is a wasteful number, since it uses less digits than its factorization.

19874799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 19874799360 in words is "nineteen billion, eight hundred seventy-four million, seven hundred ninety-nine thousand, three hundred sixty".