10586354240 has 448 divisors, whose sum is σ = 33708441600. Its totient is φ = 3065610240.

The previous prime is 10586354159. The next prime is 10586354243. The reversal of 10586354240 is 4245368501.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10586354240² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10586354194 and 10586354203.

It is not an unprimeable number, because it can be changed into a prime (10586354243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53197661 + ... + 53197859.

Almost surely, 2^10586354240 is an apocalyptic number.

10586354240 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 10586354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854220800).

10586354240 is an abundant number, since it is smaller than the sum of its proper divisors (23122087360).

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

10586354240 is a wasteful number, since it uses less digits than its factorization.

10586354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 10586354240 in words is "ten billion, five hundred eighty-six million, three hundred fifty-four thousand, two hundred forty".