19834543872 has 360 divisors, whose sum is σ = 69493097520. Its totient is φ = 5547294720.

The previous prime is 19834543871. The next prime is 19834543873. The reversal of 19834543872 is 27834543891.

It is a happy number.

19834543872 is a `hidden beast` number, since 1 + 98 + 3 + 4 + 543 + 8 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (19834543871) and next prime (19834543873).

It is a super-2 number, since 2×19834543872² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19834543871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2961904 + ... + 2968592.

It is an arithmetic number, because the mean of its divisors is an integer number (193036382).

Almost surely, 2^19834543872 is an apocalyptic number.

19834543872 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 19834543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34746548760).

19834543872 is an abundant number, since it is smaller than the sum of its proper divisors (49658553648).

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

19834543872 is a wasteful number, since it uses less digits than its factorization.

19834543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6718 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 19834543872 in words is "nineteen billion, eight hundred thirty-four million, five hundred forty-three thousand, eight hundred seventy-two".