10675440347200 has 84 divisors (see below), whose sum is σ = 26269048390932. Its totient is φ = 4270047232000.

The previous prime is 10675440347123. The next prime is 10675440347207. The reversal of 10675440347200 is 274304457601.

It can be written as a sum of positive squares in 6 ways, for example, as 6455176815616 + 4220263531584 = 2540704^2 + 2054328^2 .

It is a super-2 number, since 2×10675440347200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10675440347207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66801792 + ... + 66961408.

Almost surely, 2^{10675440347200} is an apocalyptic number.

10675440347200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10675440347200 is an abundant number, since it is smaller than the sum of its proper divisors (15593608043732).

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

10675440347200 is a wasteful number, since it uses less digits than its factorization.

10675440347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201440 (or 201425 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The spelling of 10675440347200 in words is "ten trillion, six hundred seventy-five billion, four hundred forty million, three hundred forty-seven thousand, two hundred".