10085726560 has 192 divisors, whose sum is σ = 29529360000. Its totient is φ = 3169861632.

The previous prime is 10085726551. The next prime is 10085726587. The reversal of 10085726560 is 6562758001.

10085726560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 2167116 + ... + 2171764.

It is an arithmetic number, because the mean of its divisors is an integer number (153798750).

Almost surely, 2^10085726560 is an apocalyptic number.

10085726560 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 10085726560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680000).

10085726560 is an abundant number, since it is smaller than the sum of its proper divisors (19443633440).

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

10085726560 is a wasteful number, since it uses less digits than its factorization.

10085726560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 10085726560 in words is "ten billion, eighty-five million, seven hundred twenty-six thousand, five hundred sixty".