10827973632 has 352 divisors, whose sum is σ = 35047260160. Its totient is φ = 2906357760.

The previous prime is 10827973627. The next prime is 10827973633. The reversal of 10827973632 is 23637972801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (10827973633) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24664869 + ... + 24665307.

It is an arithmetic number, because the mean of its divisors is an integer number (99566080).

Almost surely, 2^10827973632 is an apocalyptic number.

10827973632 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 10827973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17523630080).

10827973632 is an abundant number, since it is smaller than the sum of its proper divisors (24219286528).

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

10827973632 is a wasteful number, since it uses less digits than its factorization.

10827973632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 10827973632 in words is "ten billion, eight hundred twenty-seven million, nine hundred seventy-three thousand, six hundred thirty-two".