10040585856 has 128 divisors (see below), whose sum is σ = 30898492800. Its totient is φ = 2829385728.

The previous prime is 10040585843. The next prime is 10040585879. The reversal of 10040585856 is 65858504001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 170640 + ... + 221808.

It is an arithmetic number, because the mean of its divisors is an integer number (241394475).

Almost surely, 2^10040585856 is an apocalyptic number.

10040585856 is a gapful number since it is divisible by the number (16) 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 10040585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449246400).

10040585856 is an abundant number, since it is smaller than the sum of its proper divisors (20857906944).

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

10040585856 is an equidigital number, since it uses as much as digits as its factorization.

10040585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51266 (or 51254 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The spelling of 10040585856 in words is "ten billion, forty million, five hundred eighty-five thousand, eight hundred fifty-six".