27299653845120 has 320 divisors, whose sum is σ = 97500867191640. Its totient is φ = 7279245066240.

The previous prime is 27299653845071. The next prime is 27299653845133. The reversal of 27299653845120 is 2154835699272.

27299653845120 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 96 + 538 + 4 + 5 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25885057605696 + 1414596239424 = 5087736^2 + 1189368^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×27299653845120² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 884012080 + ... + 884042960.

It is a 1-persistent number, because it is pandigital, but 2⋅27299653845120 = 54599307690240 is not.

Almost surely, 2^{27299653845120} is an apocalyptic number.

27299653845120 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 27299653845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48750433595820).

27299653845120 is an abundant number, since it is smaller than the sum of its proper divisors (70201213346520).

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

27299653845120 is a wasteful number, since it uses less digits than its factorization.

27299653845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47965 (or 47944 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 27299653845120 in words is "twenty-seven trillion, two hundred ninety-nine billion, six hundred fifty-three million, eight hundred forty-five thousand, one hundred twenty".