10827007326720 has 1600 divisors, whose sum is σ = 44309481511680. Its totient is φ = 2504786706432.

The previous prime is 10827007326689. The next prime is 10827007326727. The reversal of 10827007326720 is 2762370072801.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10827007326727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7016854269 + ... + 7016855811.

Almost surely, 2^{10827007326720} is an apocalyptic number.

10827007326720 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 10827007326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22154740755840).

10827007326720 is an abundant number, since it is smaller than the sum of its proper divisors (33482474184960).

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

10827007326720 is a wasteful number, since it uses less digits than its factorization.

10827007326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10827007326720 in words is "ten trillion, eight hundred twenty-seven billion, seven million, three hundred twenty-six thousand, seven hundred twenty".