10342050264 has 288 divisors, whose sum is σ = 35461127520. Its totient is φ = 2651553792.

The previous prime is 10342050263. The next prime is 10342050269. The reversal of 10342050264 is 46205024301.

10342050264 is a `hidden beast` number, since 10 + 342 + 0 + 50 + 264 = 666.

10342050264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342050263) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8969112 + ... + 8970264.

It is an arithmetic number, because the mean of its divisors is an integer number (123128915).

Almost surely, 2^10342050264 is an apocalyptic number.

10342050264 is a gapful number since it is divisible by the number (14) 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 10342050264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730563760).

10342050264 is an abundant number, since it is smaller than the sum of its proper divisors (25119077256).

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

10342050264 is a wasteful number, since it uses less digits than its factorization.

10342050264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10342050264 its reverse (46205024301), we get a palindrome (56547074565).

The spelling of 10342050264 in words is "ten billion, three hundred forty-two million, fifty thousand, two hundred sixty-four".