19848160512 has 288 divisors, whose sum is σ = 61501507200. Its totient is φ = 6305660928.

The previous prime is 19848160511. The next prime is 19848160517. The reversal of 19848160512 is 21506184891.

It is a happy number.

19848160512 is a `hidden beast` number, since 1 + 98 + 48 + 1 + 6 + 0 + 512 = 666.

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

It is a super-2 number, since 2×19848160512² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19848160511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16636588 + ... + 16637780.

It is an arithmetic number, because the mean of its divisors is an integer number (213546900).

Almost surely, 2^19848160512 is an apocalyptic number.

19848160512 is a gapful number since it is divisible by the number (12) 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 19848160512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30750753600).

19848160512 is an abundant number, since it is smaller than the sum of its proper divisors (41653346688).

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

19848160512 is a wasteful number, since it uses less digits than its factorization.

19848160512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 19848160512 in words is "nineteen billion, eight hundred forty-eight million, one hundred sixty thousand, five hundred twelve".