53778144 has 96 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 15155712.

The previous prime is 53778143. The next prime is 53778181. The reversal of 53778144 is 44187735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53778143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52582 + ... + 53594.

It is an arithmetic number, because the mean of its divisors is an integer number (1703520).

Almost surely, 2^53778144 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 53778144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

53778144 is an abundant number, since it is smaller than the sum of its proper divisors (109759776).

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

53778144 is a wasteful number, since it uses less digits than its factorization.

53778144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1104 counting only the distinct ones).

The product of its digits is 94080, while the sum is 39.

The square root of 53778144 is about 7333.3583029878. The cubic root of 53778144 is about 377.4579728954.

The spelling of 53778144 in words is "fifty-three million, seven hundred seventy-eight thousand, one hundred forty-four".