10040567560 has 64 divisors (see below), whose sum is σ = 23029168320. Its totient is φ = 3939129600.

The previous prime is 10040567521. The next prime is 10040567573. The reversal of 10040567560 is 6576504001.

It is a happy number.

10040567560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 420667 + ... + 443893.

It is an arithmetic number, because the mean of its divisors is an integer number (359830755).

Almost surely, 2^10040567560 is an apocalyptic number.

10040567560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10040567560 is an abundant number, since it is smaller than the sum of its proper divisors (12988600760).

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

10040567560 is a wasteful number, since it uses less digits than its factorization.

10040567560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23446 (or 23442 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

It can be divided in two parts, 10040 and 567560, that added together give a square (577600 = 760²).

The spelling of 10040567560 in words is "ten billion, forty million, five hundred sixty-seven thousand, five hundred sixty".