10735000800 has 72 divisors (see below), whose sum is σ = 34942435416. Its totient is φ = 2862666240.

The previous prime is 10735000781. The next prime is 10735000867. The reversal of 10735000800 is 800053701.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2234059 + ... + 2238858.

It is an arithmetic number, because the mean of its divisors is an integer number (485311603).

Almost surely, 2^10735000800 is an apocalyptic number.

10735000800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10735000800 is an abundant number, since it is smaller than the sum of its proper divisors (24207434616).

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

10735000800 is a wasteful number, since it uses less digits than its factorization.

10735000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472940 (or 4472927 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 10735000800 in words is "ten billion, seven hundred thirty-five million, eight hundred", and thus it is an aban number.