10261360746 has 192 divisors, whose sum is σ = 28808951808. Its totient is φ = 2665130688.

The previous prime is 10261360717. The next prime is 10261360751. The reversal of 10261360746 is 64706316201.

It is a happy number.

10261360746 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 1 + 3 + 607 + 46 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10261360746.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2961411 + ... + 2964873.

It is an arithmetic number, because the mean of its divisors is an integer number (150046624).

Almost surely, 2^10261360746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10261360746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14404475904).

10261360746 is an abundant number, since it is smaller than the sum of its proper divisors (18547591062).

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

10261360746 is a wasteful number, since it uses less digits than its factorization.

10261360746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3567 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 10261360746 its reverse (64706316201), we get a palindrome (74967676947).

The spelling of 10261360746 in words is "ten billion, two hundred sixty-one million, three hundred sixty thousand, seven hundred forty-six".