10068590952 has 480 divisors, whose sum is σ = 36290358720. Its totient is φ = 2586608640.

The previous prime is 10068590951. The next prime is 10068590957. The reversal of 10068590952 is 25909586001.

10068590952 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 8 + 590 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10068590898 and 10068590907.

It is not an unprimeable number, because it can be changed into a prime (10068590951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12414627 + ... + 12415437.

It is an arithmetic number, because the mean of its divisors is an integer number (75604914).

Almost surely, 2^10068590952 is an apocalyptic number.

10068590952 is a gapful number since it is divisible by the number (12) 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 10068590952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18145179360).

10068590952 is an abundant number, since it is smaller than the sum of its proper divisors (26221767768).

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

10068590952 is a wasteful number, since it uses less digits than its factorization.

10068590952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

It can be divided in two parts, 1006 and 8590952, that added together give a palindrome (8591958).

The spelling of 10068590952 in words is "ten billion, sixty-eight million, five hundred ninety thousand, nine hundred fifty-two".