10679785200 has 900 divisors, whose sum is σ = 46186813200. Its totient is φ = 2362348800.

The previous prime is 10679785199. The next prime is 10679785211. The reversal of 10679785200 is 258797601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×10679785200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 344509185 + ... + 344509215.

Almost surely, 2^10679785200 is an apocalyptic number.

10679785200 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 10679785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093406600).

10679785200 is an abundant number, since it is smaller than the sum of its proper divisors (35507028000).

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

10679785200 is an equidigital number, since it uses as much as digits as its factorization.

10679785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 10679785200 in words is "ten billion, six hundred seventy-nine million, seven hundred eighty-five thousand, two hundred".