19875642360 has 256 divisors, whose sum is σ = 73088179200. Its totient is φ = 4222513152.

The previous prime is 19875642337. The next prime is 19875642389. The reversal of 19875642360 is 6324657891.

It is a Cunningham number, because it is equal to 140981²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 834132 + ... + 857628.

It is an arithmetic number, because the mean of its divisors is an integer number (285500700).

It is a 1-persistent number, because it is pandigital, but 2⋅19875642360 = 39751284720 is not.

Almost surely, 2^19875642360 is an apocalyptic number.

19875642360 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 19875642360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36544089600).

19875642360 is an abundant number, since it is smaller than the sum of its proper divisors (53212536840).

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

19875642360 is a wasteful number, since it uses less digits than its factorization.

19875642360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23590 (or 23586 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 19875642360 in words is "nineteen billion, eight hundred seventy-five million, six hundred forty-two thousand, three hundred sixty".