27796813412400 has 720 divisors, whose sum is σ = 105094713984000. Its totient is φ = 6777698457600.

The previous prime is 27796813412393. The next prime is 27796813412477. The reversal of 27796813412400 is 421431869772.

27796813412400 is a `hidden beast` number, since 2 + 7 + 7 + 96 + 8 + 134 + 12 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 803614306 + ... + 803648894.

Almost surely, 2^{27796813412400} is an apocalyptic number.

27796813412400 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 27796813412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52547356992000).

27796813412400 is an abundant number, since it is smaller than the sum of its proper divisors (77297900571600).

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

27796813412400 is a wasteful number, since it uses less digits than its factorization.

27796813412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35042 (or 35028 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27796813412400 in words is "twenty-seven trillion, seven hundred ninety-six billion, eight hundred thirteen million, four hundred twelve thousand, four hundred".