27324197683400 has 96 divisors (see below), whose sum is σ = 64240322106240. Its totient is φ = 10807937986560.

The previous prime is 27324197683399. The next prime is 27324197683423. The reversal of 27324197683400 is 438679142372.

It is a happy number.

It is a super-2 number, since 2×27324197683400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4326797 + ... + 8565603.

It is an arithmetic number, because the mean of its divisors is an integer number (669170021940).

Almost surely, 2^{27324197683400} is an apocalyptic number.

27324197683400 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 27324197683400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32120161053120).

27324197683400 is an abundant number, since it is smaller than the sum of its proper divisors (36916124422840).

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

27324197683400 is a wasteful number, since it uses less digits than its factorization.

27324197683400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239183 (or 4239174 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 56.

The spelling of 27324197683400 in words is "twenty-seven trillion, three hundred twenty-four billion, one hundred ninety-seven million, six hundred eighty-three thousand, four hundred".