10857687420 has 48 divisors (see below), whose sum is σ = 30500604288. Its totient is φ = 2885947200.

The previous prime is 10857687419. The next prime is 10857687439. The reversal of 10857687420 is 2478675801.

10857687420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10857687420² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10857687420.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 276306 + ... + 313145.

It is an arithmetic number, because the mean of its divisors is an integer number (635429256).

Almost surely, 2^10857687420 is an apocalyptic number.

10857687420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10857687420 is an abundant number, since it is smaller than the sum of its proper divisors (19642916868).

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

10857687420 is a wasteful number, since it uses less digits than its factorization.

10857687420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589770 (or 589768 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 48.

The spelling of 10857687420 in words is "ten billion, eight hundred fifty-seven million, six hundred eighty-seven thousand, four hundred twenty".