10853877540 has 96 divisors (see below), whose sum is σ = 33286256640. Its totient is φ = 2620720000.

The previous prime is 10853877539. The next prime is 10853877553. The reversal of 10853877540 is 4577835801.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10853877540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132901 + ... + 198419.

It is an arithmetic number, because the mean of its divisors is an integer number (346731840).

Almost surely, 2^10853877540 is an apocalyptic number.

10853877540 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 10853877540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643128320).

10853877540 is an abundant number, since it is smaller than the sum of its proper divisors (22432379100).

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

10853877540 is a wasteful number, since it uses less digits than its factorization.

10853877540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65793 (or 65791 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 10853877540 in words is "ten billion, eight hundred fifty-three million, eight hundred seventy-seven thousand, five hundred forty".