10852586010 has 128 divisors (see below), whose sum is σ = 33416087040. Its totient is φ = 2454976512.

The previous prime is 10852586009. The next prime is 10852586029. The reversal of 10852586010 is 1068525801.

10852586010 is a `hidden beast` number, since 10 + 8 + 52 + 586 + 0 + 10 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153732 + ... + 212928.

It is an arithmetic number, because the mean of its divisors is an integer number (261063180).

Almost surely, 2^10852586010 is an apocalyptic number.

10852586010 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 10852586010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16708043520).

10852586010 is an abundant number, since it is smaller than the sum of its proper divisors (22563501030).

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

10852586010 is a wasteful number, since it uses less digits than its factorization.

10852586010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59317 (or 59311 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 10852586010 in words is "ten billion, eight hundred fifty-two million, five hundred eighty-six thousand, ten".