10235676875850 has 192 divisors, whose sum is σ = 28477378759680. Its totient is φ = 2703168158400.

The previous prime is 10235676875839. The next prime is 10235676875857. The reversal of 10235676875850 is 5857867653201.

10235676875850 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 567 + 68 + 7 + 5 + 8 + 5 + 0 = 666.

10235676875850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10235676875850² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10235676875857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569557365 + ... + 569575335.

It is an arithmetic number, because the mean of its divisors is an integer number (148319681040).

Almost surely, 2^{10235676875850} is an apocalyptic number.

10235676875850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10235676875850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238689379840).

10235676875850 is an abundant number, since it is smaller than the sum of its proper divisors (18241701883830).

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

10235676875850 is a wasteful number, since it uses less digits than its factorization.

10235676875850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22042 (or 22031 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 10235676875850 in words is "ten trillion, two hundred thirty-five billion, six hundred seventy-six million, eight hundred seventy-five thousand, eight hundred fifty".