10085319552 has 256 divisors, whose sum is σ = 34085952000. Its totient is φ = 2619187200.

The previous prime is 10085319551. The next prime is 10085319557. The reversal of 10085319552 is 25591358001.

It is a self number, because there is not a number n which added to its sum of digits gives 10085319552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10085319551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445352 + ... + 1452312.

It is an arithmetic number, because the mean of its divisors is an integer number (133148250).

Almost surely, 2^10085319552 is an apocalyptic number.

10085319552 is a gapful number since it is divisible by the number (12) 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 10085319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17042976000).

10085319552 is an abundant number, since it is smaller than the sum of its proper divisors (24000632448).

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

10085319552 is an equidigital number, since it uses as much as digits as its factorization.

10085319552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7010 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 10085319552 in words is "ten billion, eighty-five million, three hundred nineteen thousand, five hundred fifty-two".