10486632800 has 144 divisors (see below), whose sum is σ = 29312311392. Its totient is φ = 3588710400.

The previous prime is 10486632799. The next prime is 10486632847. The reversal of 10486632800 is 823668401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3700184 + ... + 3703016.

It is an arithmetic number, because the mean of its divisors is an integer number (203557718).

Almost surely, 2^10486632800 is an apocalyptic number.

10486632800 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 10486632800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14656155696).

10486632800 is an abundant number, since it is smaller than the sum of its proper divisors (18825678592).

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

10486632800 is a wasteful number, since it uses less digits than its factorization.

10486632800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 10486632800 in words is "ten billion, four hundred eighty-six million, six hundred thirty-two thousand, eight hundred".