10261564542 has 80 divisors (see below), whose sum is σ = 23820350400. Its totient is φ = 3299408640.

The previous prime is 10261564529. The next prime is 10261564559. The reversal of 10261564542 is 24546516201.

10261564542 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 1 + 5 + 645 + 4 + 2 = 666.

10261564542 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10261564497 and 10261564506.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 582459 + ... + 599817.

It is an arithmetic number, because the mean of its divisors is an integer number (297754380).

Almost surely, 2^10261564542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261564542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910175200).

10261564542 is an abundant number, since it is smaller than the sum of its proper divisors (13558785858).

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

10261564542 is a wasteful number, since it uses less digits than its factorization.

10261564542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17503 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10261564542 in words is "ten billion, two hundred sixty-one million, five hundred sixty-four thousand, five hundred forty-two".