27230282956800 has 6480 divisors, whose sum is σ = 141626292837120. Its totient is φ = 5045118566400.

The previous prime is 27230282956769. The next prime is 27230282956837. The reversal of 27230282956800 is 865928203272.

27230282956800 is a `hidden beast` number, since 2 + 7 + 2 + 30 + 28 + 29 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1433172787191 + ... + 1433172787209.

Almost surely, 2^{27230282956800} is an apocalyptic number.

27230282956800 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 27230282956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70813146418560).

27230282956800 is an abundant number, since it is smaller than the sum of its proper divisors (114396009880320).

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

27230282956800 is a wasteful number, since it uses less digits than its factorization.

27230282956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27230282956800 in words is "twenty-seven trillion, two hundred thirty billion, two hundred eighty-two million, nine hundred fifty-six thousand, eight hundred".