53084610432 has 384 divisors, whose sum is σ = 184833792000. Its totient is φ = 14300762112.

The previous prime is 53084610427. The next prime is 53084610451. The reversal of 53084610432 is 23401648035.

53084610432 is a `hidden beast` number, since 5 + 3 + 0 + 8 + 4 + 610 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10053169 + ... + 10058447.

It is an arithmetic number, because the mean of its divisors is an integer number (481338000).

Almost surely, 2^53084610432 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 53084610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92416896000).

53084610432 is an abundant number, since it is smaller than the sum of its proper divisors (131749181568).

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

53084610432 is a wasteful number, since it uses less digits than its factorization.

53084610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5378 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53084610432 in words is "fifty-three billion, eighty-four million, six hundred ten thousand, four hundred thirty-two".