10851375600 has 300 divisors, whose sum is σ = 41942091576. Its totient is φ = 2671004160.

The previous prime is 10851375593. The next prime is 10851375617. The reversal of 10851375600 is 657315801.

10851375600 is a `hidden beast` number, since 1 + 0 + 85 + 13 + 7 + 560 + 0 = 666.

10851375600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×10851375600³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408319 + ... + 434081.

Almost surely, 2^10851375600 is an apocalyptic number.

10851375600 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 10851375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971045788).

10851375600 is an abundant number, since it is smaller than the sum of its proper divisors (31090715976).

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

10851375600 is a wasteful number, since it uses less digits than its factorization.

10851375600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25806 (or 25786 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10851375600 in words is "ten billion, eight hundred fifty-one million, three hundred seventy-five thousand, six hundred".