10827941855400 has 288 divisors, whose sum is σ = 40529357294400. Its totient is φ = 2574569318400.

The previous prime is 10827941855389. The next prime is 10827941855443. The reversal of 10827941855400 is 455814972801.

10827941855400 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 94 + 1 + 8 + 5 + 540 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8730556 + ... + 9893355.

It is an arithmetic number, because the mean of its divisors is an integer number (140726935050).

Almost surely, 2^{10827941855400} is an apocalyptic number.

10827941855400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10827941855400 is an abundant number, since it is smaller than the sum of its proper divisors (29701415439000).

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

10827941855400 is a wasteful number, since it uses less digits than its factorization.

10827941855400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18623969 (or 18623957 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 10827941855400 in words is "ten trillion, eight hundred twenty-seven billion, nine hundred forty-one million, eight hundred fifty-five thousand, four hundred".