10727201492800 has 168 divisors, whose sum is σ = 29119373162712. Its totient is φ = 3864207360000.

The previous prime is 10727201492783. The next prime is 10727201492863. The reversal of 10727201492800 is 829410272701.

It can be written as a sum of positive squares in 12 ways, for example, as 8544443455744 + 2182758037056 = 2923088^2 + 1477416^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5436601 + ... + 7142200.

It is an arithmetic number, because the mean of its divisors is an integer number (173329602159).

Almost surely, 2^{10727201492800} is an apocalyptic number.

10727201492800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10727201492800 is an abundant number, since it is smaller than the sum of its proper divisors (18392171669912).

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

10727201492800 is a wasteful number, since it uses less digits than its factorization.

10727201492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578877 (or 12578862 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 10727201492800 in words is "ten trillion, seven hundred twenty-seven billion, two hundred one million, four hundred ninety-two thousand, eight hundred".