10289557000 has 64 divisors (see below), whose sum is σ = 24348308400. Its totient is φ = 4069542400.

The previous prime is 10289556997. The next prime is 10289557039. The reversal of 10289557000 is 75598201.

It can be written as a sum of positive squares in 8 ways, for example, as 884824516 + 9404732484 = 29746^2 + 96978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31194 + ... + 146806.

Almost surely, 2^10289557000 is an apocalyptic number.

10289557000 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 10289557000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12174154200).

10289557000 is an abundant number, since it is smaller than the sum of its proper divisors (14058751400).

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

10289557000 is a wasteful number, since it uses less digits than its factorization.

10289557000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115723 (or 115709 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 37.

It can be divided in two parts, 102895 and 57000, that added together give a triangular number (159895 = T₅₆₅).

The spelling of 10289557000 in words is "ten billion, two hundred eighty-nine million, five hundred fifty-seven thousand".