10732800000000 has 1080 divisors, whose sum is σ = 39422776690528. Its totient is φ = 2580480000000.

The previous prime is 10732799999903. The next prime is 10732800000017. The reversal of 10732800000000 is 823701.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 249599999979 + ... + 249600000021.

Almost surely, 2^{10732800000000} is an apocalyptic number.

10732800000000 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 10732800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19711388345264).

10732800000000 is an abundant number, since it is smaller than the sum of its proper divisors (28689976690528).

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

10732800000000 is an frugal number, since it uses more digits than its factorization.

10732800000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

Adding to 10732800000000 its reverse (823701), we get a palindrome (10732800823701).

The spelling of 10732800000000 in words is "ten trillion, seven hundred thirty-two billion, eight hundred million", and thus it is an aban number.