10850058240 has 720 divisors, whose sum is σ = 43570148832. Its totient is φ = 2290089984.

The previous prime is 10850058239. The next prime is 10850058337. The reversal of 10850058240 is 4285005801.

It is a super-2 number, since 2×10850058240² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204718054 + ... + 204718106.

Almost surely, 2^10850058240 is an apocalyptic number.

10850058240 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 10850058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785074416).

10850058240 is an abundant number, since it is smaller than the sum of its proper divisors (32720090592).

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

10850058240 is an equidigital number, since it uses as much as digits as its factorization.

10850058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The spelling of 10850058240 in words is "ten billion, eight hundred fifty million, fifty-eight thousand, two hundred forty".