10576575240 has 256 divisors, whose sum is σ = 39875051520. Its totient is φ = 2180183040.

The previous prime is 10576575227. The next prime is 10576575259. The reversal of 10576575240 is 4257567501.

It is a happy number.

10576575240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10576575240² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10576575192 and 10576575201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1168974 + ... + 1177986.

It is an arithmetic number, because the mean of its divisors is an integer number (155761920).

Almost surely, 2^10576575240 is an apocalyptic number.

10576575240 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 10576575240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937525760).

10576575240 is an abundant number, since it is smaller than the sum of its proper divisors (29298476280).

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

10576575240 is a wasteful number, since it uses less digits than its factorization.

10576575240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The spelling of 10576575240 in words is "ten billion, five hundred seventy-six million, five hundred seventy-five thousand, two hundred forty".