27168426400 has 36 divisors (see below), whose sum is σ = 66324922902. Its totient is φ = 10867370240.

The previous prime is 27168426361. The next prime is 27168426473. The reversal of 27168426400 is 462486172.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25003199376 + 2165227024 = 158124^2 + 46532^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16979467 + ... + 16981066.

Almost surely, 2^27168426400 is an apocalyptic number.

27168426400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27168426400 is an abundant number, since it is smaller than the sum of its proper divisors (39156496502).

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

27168426400 is a wasteful number, since it uses less digits than its factorization.

27168426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33960553 (or 33960540 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 27168426400 in words is "twenty-seven billion, one hundred sixty-eight million, four hundred twenty-six thousand, four hundred".