53777868 has 48 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 16785664.

The previous prime is 53777863. The next prime is 53777891. The reversal of 53777868 is 86877735.

53777868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 53777868.

It is not an unprimeable number, because it can be changed into a prime (53777863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48205 + ... + 49307.

It is an arithmetic number, because the mean of its divisors is an integer number (2782080).

Almost surely, 2^53777868 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 53777868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

53777868 is an abundant number, since it is smaller than the sum of its proper divisors (79761972).

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

53777868 is a wasteful number, since it uses less digits than its factorization.

53777868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 51.

The square root of 53777868 is about 7333.3394848459. The cubic root of 53777868 is about 377.4573271648.

It can be divided in two parts, 53777 and 868, that added together give a palindrome (54645).

The spelling of 53777868 in words is "fifty-three million, seven hundred seventy-seven thousand, eight hundred sixty-eight".