27212037849360 has 2400 divisors, whose sum is σ = 123587989291008. Its totient is φ = 5424980520960.

The previous prime is 27212037849331. The next prime is 27212037849377. The reversal of 27212037849360 is 6394873021272.

It is a happy number.

27212037849360 is a `hidden beast` number, since 2 + 7 + 2 + 1 + 20 + 3 + 78 + 493 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 27212037849297 and 27212037849306.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10218563389 + ... + 10218566051.

Almost surely, 2^{27212037849360} is an apocalyptic number.

27212037849360 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 27212037849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61793994645504).

27212037849360 is an abundant number, since it is smaller than the sum of its proper divisors (96375951441648).

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

27212037849360 is a wasteful number, since it uses less digits than its factorization.

27212037849360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2767 counting only the distinct ones).

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

The spelling of 27212037849360 in words is "twenty-seven trillion, two hundred twelve billion, thirty-seven million, eight hundred forty-nine thousand, three hundred sixty".