27665197790400 has 2688 divisors, whose sum is σ = 113748433920000. Its totient is φ = 6510938112000.

The previous prime is 27665197790353. The next prime is 27665197790413. The reversal of 27665197790400 is 409779156672.

27665197790400 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 51 + 97 + 7 + 90 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 154554177511 + ... + 154554177689.

Almost surely, 2^{27665197790400} is an apocalyptic number.

27665197790400 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 27665197790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56874216960000).

27665197790400 is an abundant number, since it is smaller than the sum of its proper divisors (86083236129600).

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

27665197790400 is a wasteful number, since it uses less digits than its factorization.

27665197790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 27665197790400 in words is "twenty-seven trillion, six hundred sixty-five billion, one hundred ninety-seven million, seven hundred ninety thousand, four hundred".