10085368320 has 400 divisors, whose sum is σ = 38260830168. Its totient is φ = 2530344960.

The previous prime is 10085368297. The next prime is 10085368343. The reversal of 10085368320 is 2386358001.

It is an interprime number because it is at equal distance from previous prime (10085368297) and next prime (10085368343).

It can be written as a sum of positive squares in 4 ways, for example, as 9280624896 + 804743424 = 96336^2 + 28368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3523690 + ... + 3526550.

Almost surely, 2^10085368320 is an apocalyptic number.

10085368320 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 10085368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130415084).

10085368320 is an abundant number, since it is smaller than the sum of its proper divisors (28175461848).

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

10085368320 is an equidigital number, since it uses as much as digits as its factorization.

10085368320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10085368320 in words is "ten billion, eighty-five million, three hundred sixty-eight thousand, three hundred twenty".