10957378068 has 144 divisors (see below), whose sum is σ = 34213810176. Its totient is φ = 2879331840.

The previous prime is 10957378057. The next prime is 10957378073. The reversal of 10957378068 is 86087375901.

10957378068 is a `hidden beast` number, since 1 + 0 + 9 + 573 + 7 + 8 + 0 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914605 + ... + 926507.

It is an arithmetic number, because the mean of its divisors is an integer number (237595904).

Almost surely, 2^10957378068 is an apocalyptic number.

10957378068 is a gapful number since it is divisible by the number (18) 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 10957378068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17106905088).

10957378068 is an abundant number, since it is smaller than the sum of its proper divisors (23256432108).

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

10957378068 is a wasteful number, since it uses less digits than its factorization.

10957378068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12214 (or 12209 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10957378068 in words is "ten billion, nine hundred fifty-seven million, three hundred seventy-eight thousand, sixty-eight".