10827015000 has 160 divisors (see below), whose sum is σ = 33908083440. Its totient is φ = 2880000000.

The previous prime is 10827014981. The next prime is 10827015007. The reversal of 10827015000 is 51072801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10827015007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9014400 + ... + 9015600.

Almost surely, 2^10827015000 is an apocalyptic number.

10827015000 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 10827015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954041720).

10827015000 is an abundant number, since it is smaller than the sum of its proper divisors (23081068440).

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

10827015000 is a wasteful number, since it uses less digits than its factorization.

10827015000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 10827015000 its reverse (51072801), we get a palindrome (10878087801).

The spelling of 10827015000 in words is "ten billion, eight hundred twenty-seven million, fifteen thousand".