27229057456320 has 168 divisors, whose sum is σ = 93729965990544. Its totient is φ = 7255394961408.

The previous prime is 27229057456259. The next prime is 27229057456327. The reversal of 27229057456320 is 2365475092272.

27229057456320 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 9 + 0 + 5 + 74 + 563 + 2 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (27229057456327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24094 + ... + 7379613.

Almost surely, 2^{27229057456320} is an apocalyptic number.

27229057456320 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 27229057456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46864982995272).

27229057456320 is an abundant number, since it is smaller than the sum of its proper divisors (66500908534224).

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

27229057456320 is a wasteful number, since it uses less digits than its factorization.

27229057456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405007 (or 7404994 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 27229057456320 in words is "twenty-seven trillion, two hundred twenty-nine billion, fifty-seven million, four hundred fifty-six thousand, three hundred twenty".