10042978056 has 128 divisors (see below), whose sum is σ = 26088635520. Its totient is φ = 3220066304.

The previous prime is 10042978051. The next prime is 10042978061. The reversal of 10042978056 is 65087924001.

10042978056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10042978051) and next prime (10042978061).

It is a super-2 number, since 2×10042978056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042977999 and 10042978017.

It is not an unprimeable number, because it can be changed into a prime (10042978051) 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 31 ways as a sum of consecutive naturals, for example, 15379426 + ... + 15380078.

It is an arithmetic number, because the mean of its divisors is an integer number (203817465).

Almost surely, 2^10042978056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042978056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13044317760).

10042978056 is an abundant number, since it is smaller than the sum of its proper divisors (16045657464).

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

10042978056 is a wasteful number, since it uses less digits than its factorization.

10042978056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10042978056 in words is "ten billion, forty-two million, nine hundred seventy-eight thousand, fifty-six".