19881308160 has 624 divisors, whose sum is σ = 83005628160. Its totient is φ = 4299816960.

The previous prime is 19881308159. The next prime is 19881308171. The reversal of 19881308160 is 6180318891.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24514155 + ... + 24514965.

It is an arithmetic number, because the mean of its divisors is an integer number (133021840).

Almost surely, 2^19881308160 is an apocalyptic number.

19881308160 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 19881308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41502814080).

19881308160 is an abundant number, since it is smaller than the sum of its proper divisors (63124320000).

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

19881308160 is a wasteful number, since it uses less digits than its factorization.

19881308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 19881308160 in words is "nineteen billion, eight hundred eighty-one million, three hundred eight thousand, one hundred sixty".