27312221276496 has 360 divisors, whose sum is σ = 87747461707776. Its totient is φ = 7912861332480.

The previous prime is 27312221276489. The next prime is 27312221276513. The reversal of 27312221276496 is 69467212221372.

27312221276496 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 2 + 22 + 127 + 6 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27424161 + ... + 28402623.

Almost surely, 2^{27312221276496} is an apocalyptic number.

27312221276496 is a gapful number since it is divisible by the number (26) 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 27312221276496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43873730853888).

27312221276496 is an abundant number, since it is smaller than the sum of its proper divisors (60435240431280).

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

27312221276496 is a wasteful number, since it uses less digits than its factorization.

27312221276496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978571 (or 978549 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 27312221276496 in words is "twenty-seven trillion, three hundred twelve billion, two hundred twenty-one million, two hundred seventy-six thousand, four hundred ninety-six".