10427860716 has 144 divisors (see below), whose sum is σ = 31533193440. Its totient is φ = 2655313920.

The previous prime is 10427860679. The next prime is 10427860753. The reversal of 10427860716 is 61706872401.

10427860716 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 (10427860679) and next prime (10427860753).

It is a super-2 number, since 2×10427860716² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 198156 + ... + 245196.

It is an arithmetic number, because the mean of its divisors is an integer number (218980510).

Almost surely, 2^10427860716 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 10427860716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15766596720).

10427860716 is an abundant number, since it is smaller than the sum of its proper divisors (21105332724).

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

10427860716 is a wasteful number, since it uses less digits than its factorization.

10427860716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47104 (or 47095 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 10427860716 in words is "ten billion, four hundred twenty-seven million, eight hundred sixty thousand, seven hundred sixteen".