10791532800 has 486 divisors, whose sum is σ = 40219950498. Its totient is φ = 2866544640.

The previous prime is 10791532783. The next prime is 10791532811. The reversal of 10791532800 is 823519701.

It can be written as a sum of positive squares in 3 ways, for example, as 3251736576 + 7539796224 = 57024^2 + 86832^2 .

It is a tau number, because it is divible by the number of its divisors (486).

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

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 53 ways as a sum of consecutive naturals, for example, 41990272 + ... + 41990528.

Almost surely, 2^10791532800 is an apocalyptic number.

10791532800 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 10791532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20109975249).

10791532800 is an abundant number, since it is smaller than the sum of its proper divisors (29428417698).

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

10791532800 is an frugal number, since it uses more digits than its factorization.

10791532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

It can be divided in two parts, 107915 and 32800, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 10791532800 in words is "ten billion, seven hundred ninety-one million, five hundred thirty-two thousand, eight hundred".