10085229000 has 1152 divisors, whose sum is σ = 45313632000. Its totient is φ = 2095632000.

The previous prime is 10085228983. The next prime is 10085229017. The reversal of 10085229000 is 92258001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (10085228983) and next prime (10085229017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 916838995 + ... + 916839005.

It is an arithmetic number, because the mean of its divisors is an integer number (39334750).

Almost surely, 2^10085229000 is an apocalyptic number.

10085229000 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 10085229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22656816000).

10085229000 is an abundant number, since it is smaller than the sum of its proper divisors (35228403000).

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

10085229000 is an equidigital number, since it uses as much as digits as its factorization.

10085229000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 10085229000 in words is "ten billion, eighty-five million, two hundred twenty-nine thousand".