10857939840 has 576 divisors, whose sum is σ = 42812668080. Its totient is φ = 2627665920.

The previous prime is 10857939839. The next prime is 10857939863. The reversal of 10857939840 is 4893975801.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 18817632 + ... + 18818208.

Almost surely, 2^10857939840 is an apocalyptic number.

10857939840 is a gapful number since it is divisible by the number (10) 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 10857939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21406334040).

10857939840 is an abundant number, since it is smaller than the sum of its proper divisors (31954728240).

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

10857939840 is an equidigital number, since it uses as much as digits as its factorization.

10857939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10857939840 in words is "ten billion, eight hundred fifty-seven million, nine hundred thirty-nine thousand, eight hundred forty".