53876406528 has 432 divisors, whose sum is σ = 193473266560. Its totient is φ = 14484013056.

The previous prime is 53876406523. The next prime is 53876406539. The reversal of 53876406528 is 82560467835.

53876406528 is a `hidden beast` number, since 5 + 3 + 8 + 76 + 40 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (53876406523) 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 47 ways as a sum of consecutive naturals, for example, 13981050 + ... + 13984902.

Almost surely, 2^53876406528 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 53876406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96736633280).

53876406528 is an abundant number, since it is smaller than the sum of its proper divisors (139596860032).

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

53876406528 is a wasteful number, since it uses less digits than its factorization.

53876406528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3882 counting only the distinct ones).

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

The spelling of 53876406528 in words is "fifty-three billion, eight hundred seventy-six million, four hundred six thousand, five hundred twenty-eight".