10350852840 has 256 divisors, whose sum is σ = 37247040000. Its totient is φ = 2548998144.

The previous prime is 10350852833. The next prime is 10350852857. The reversal of 10350852840 is 4825805301.

It is a happy number.

10350852840 is a `hidden beast` number, since 103 + 508 + 5 + 2 + 8 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10350852795 and 10350852804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713176 + ... + 727544.

It is an arithmetic number, because the mean of its divisors is an integer number (145496250).

Almost surely, 2^10350852840 is an apocalyptic number.

10350852840 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 10350852840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623520000).

10350852840 is an abundant number, since it is smaller than the sum of its proper divisors (26896187160).

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

10350852840 is a wasteful number, since it uses less digits than its factorization.

10350852840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14441 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 10350852840 in words is "ten billion, three hundred fifty million, eight hundred fifty-two thousand, eight hundred forty".