10085850232600 has 192 divisors, whose sum is σ = 25039740211200. Its totient is φ = 3764925696000.

The previous prime is 10085850232597. The next prime is 10085850232607. The reversal of 10085850232600 is 623205858001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085850232607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 201938431 + ... + 201988369.

It is an arithmetic number, because the mean of its divisors is an integer number (130415313600).

Almost surely, 2^{10085850232600} is an apocalyptic number.

10085850232600 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 10085850232600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519870105600).

10085850232600 is an abundant number, since it is smaller than the sum of its proper divisors (14953889978600).

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

10085850232600 is a wasteful number, since it uses less digits than its factorization.

10085850232600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50474 (or 50465 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 10085850232600 in words is "ten trillion, eighty-five billion, eight hundred fifty million, two hundred thirty-two thousand, six hundred".