10759800400 has 60 divisors (see below), whose sum is σ = 26741843100. Its totient is φ = 4155504640.

The previous prime is 10759800383. The next prime is 10759800427. The reversal of 10759800400 is 400895701.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1922296336 + 8837504064 = 43844^2 + 94008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452185 + ... + 475384.

It is an arithmetic number, because the mean of its divisors is an integer number (445697385).

Almost surely, 2^10759800400 is an apocalyptic number.

10759800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10759800400 is an abundant number, since it is smaller than the sum of its proper divisors (15982042700).

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

10759800400 is a wasteful number, since it uses less digits than its factorization.

10759800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927616 (or 927605 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 10759800400 in words is "ten billion, seven hundred fifty-nine million, eight hundred thousand, four hundred".