53784538164 has 252 divisors, whose sum is σ = 168182047908. Its totient is φ = 14990572800.

The previous prime is 53784538151. The next prime is 53784538267. The reversal of 53784538164 is 46183548735.

53784538164 is a `hidden beast` number, since 53 + 7 + 8 + 453 + 81 + 64 = 666.

53784538164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 16035156900 + 37749381264 = 126630^2 + 194292^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a self number, because there is not a number n which added to its sum of digits gives 53784538164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5853654 + ... + 5862834.

It is an arithmetic number, because the mean of its divisors is an integer number (667389079).

Almost surely, 2^53784538164 is an apocalyptic number.

53784538164 is a gapful number since it is divisible by the number (54) 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 53784538164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84091023954).

53784538164 is an abundant number, since it is smaller than the sum of its proper divisors (114397509744).

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

53784538164 is a wasteful number, since it uses less digits than its factorization.

53784538164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9234 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 53784538164 in words is "fifty-three billion, seven hundred eighty-four million, five hundred thirty-eight thousand, one hundred sixty-four".