27492972414208 has 72 divisors (see below), whose sum is σ = 66407657706432. Its totient is φ = 11089602306048.

The previous prime is 27492972414203. The next prime is 27492972414211. The reversal of 27492972414208 is 80241427929472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27492972414203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451206610 + ... + 451267537.

It is an arithmetic number, because the mean of its divisors is an integer number (922328579256).

Almost surely, 2^{27492972414208} is an apocalyptic number.

27492972414208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27492972414208 is an abundant number, since it is smaller than the sum of its proper divisors (38914685292224).

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

27492972414208 is an equidigital number, since it uses as much as digits as its factorization.

27492972414208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902474187 (or 902474173 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 61.

The spelling of 27492972414208 in words is "twenty-seven trillion, four hundred ninety-two billion, nine hundred seventy-two million, four hundred fourteen thousand, two hundred eight".