10585250832240 has 200 divisors, whose sum is σ = 42016165123680. Its totient is φ = 2419485894144.

The previous prime is 10585250832199. The next prime is 10585250832287. The reversal of 10585250832240 is 4223805258501.

10585250832240 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 525 + 0 + 83 + 2 + 2 + 40 = 666.

It is a super-2 number, since 2×10585250832240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 116635095 + ... + 116725814.

Almost surely, 2^{10585250832240} is an apocalyptic number.

10585250832240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10585250832240 is an abundant number, since it is smaller than the sum of its proper divisors (31430914291440).

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

10585250832240 is a wasteful number, since it uses less digits than its factorization.

10585250832240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233360941 (or 233360926 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 10585250832240 in words is "ten trillion, five hundred eighty-five billion, two hundred fifty million, eight hundred thirty-two thousand, two hundred forty".