10827940032 has 504 divisors, whose sum is σ = 40357598736. Its totient is φ = 2853107712.

The previous prime is 10827939979. The next prime is 10827940043. The reversal of 10827940032 is 23004972801.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10827940032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9906078 + ... + 9907170.

Almost surely, 2^10827940032 is an apocalyptic number.

10827940032 is a gapful number since it is divisible by the number (12) 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 10827940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20178799368).

10827940032 is an abundant number, since it is smaller than the sum of its proper divisors (29529658704).

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

10827940032 is a wasteful number, since it uses less digits than its factorization.

10827940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10827940032 in words is "ten billion, eight hundred twenty-seven million, nine hundred forty thousand, thirty-two".