10835627472744 has 128 divisors (see below), whose sum is σ = 28647475200000. Its totient is φ = 3405865736448.

The previous prime is 10835627472739. The next prime is 10835627472751. The reversal of 10835627472744 is 44727472653801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425932777 + ... + 425958215.

It is an arithmetic number, because the mean of its divisors is an integer number (223808400000).

Almost surely, 2^{10835627472744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10835627472744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14323737600000).

10835627472744 is an abundant number, since it is smaller than the sum of its proper divisors (17811847727256).

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

10835627472744 is a wasteful number, since it uses less digits than its factorization.

10835627472744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29775 (or 29771 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 60.

The spelling of 10835627472744 in words is "ten trillion, eight hundred thirty-five billion, six hundred twenty-seven million, four hundred seventy-two thousand, seven hundred forty-four".