27198123840 has 224 divisors, whose sum is σ = 96058085760. Its totient is φ = 7244587008.

The previous prime is 27198123817. The next prime is 27198123853. The reversal of 27198123840 is 4832189172.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13416907 + ... + 13418933.

It is an arithmetic number, because the mean of its divisors is an integer number (428830740).

Almost surely, 2^27198123840 is an apocalyptic number.

27198123840 is a gapful number since it is divisible by the number (20) 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 27198123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48029042880).

27198123840 is an abundant number, since it is smaller than the sum of its proper divisors (68859961920).

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

27198123840 is a wasteful number, since it uses less digits than its factorization.

27198123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 27198123840 in words is "twenty-seven billion, one hundred ninety-eight million, one hundred twenty-three thousand, eight hundred forty".