53386429824 has 768 divisors, whose sum is σ = 203461440000. Its totient is φ = 13314502656.

The previous prime is 53386429823. The next prime is 53386429841. The reversal of 53386429824 is 42892468335.

53386429824 is a `hidden beast` number, since 533 + 8 + 6 + 4 + 29 + 82 + 4 = 666.

It is a super-2 number, since 2×53386429824² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53386429823) 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 95 ways as a sum of consecutive naturals, for example, 97598319 + ... + 97598865.

It is an arithmetic number, because the mean of its divisors is an integer number (264923750).

Almost surely, 2^53386429824 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 53386429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101730720000).

53386429824 is an abundant number, since it is smaller than the sum of its proper divisors (150075010176).

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

53386429824 is a wasteful number, since it uses less digits than its factorization.

53386429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 591 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 53386429824 in words is "fifty-three billion, three hundred eighty-six million, four hundred twenty-nine thousand, eight hundred twenty-four".