10755856300 has 144 divisors (see below), whose sum is σ = 28288189440. Its totient is φ = 3467543040.

The previous prime is 10755856277. The next prime is 10755856333. The reversal of 10755856300 is 365855701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1819149 + ... + 1825051.

It is an arithmetic number, because the mean of its divisors is an integer number (196445760).

Almost surely, 2^10755856300 is an apocalyptic number.

10755856300 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 10755856300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14144094720).

10755856300 is an abundant number, since it is smaller than the sum of its proper divisors (17532333140).

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

10755856300 is a wasteful number, since it uses less digits than its factorization.

10755856300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 10755856300 in words is "ten billion, seven hundred fifty-five million, eight hundred fifty-six thousand, three hundred".