10827737807040 has 2016 divisors, whose sum is σ = 48167937679680. Its totient is φ = 2207239372800.

The previous prime is 10827737807027. The next prime is 10827737807063. The reversal of 10827737807040 is 4070873772801.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25006322664 + ... + 25006323096.

It is an arithmetic number, because the mean of its divisors is an integer number (23892826230).

Almost surely, 2^{10827737807040} is an apocalyptic number.

10827737807040 is a gapful number since it is divisible by the number (10) 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 10827737807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083968839840).

10827737807040 is an abundant number, since it is smaller than the sum of its proper divisors (37340199872640).

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

10827737807040 is a wasteful number, since it uses less digits than its factorization.

10827737807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 10827737807040 in words is "ten trillion, eight hundred twenty-seven billion, seven hundred thirty-seven million, eight hundred seven thousand, forty".