53542674432 has 336 divisors, whose sum is σ = 172819679760. Its totient is φ = 16466706432.

The previous prime is 53542674413. The next prime is 53542674491. The reversal of 53542674432 is 23447624535.

53542674432 is a `hidden beast` number, since 5 + 3 + 542 + 6 + 74 + 4 + 32 = 666.

It is a super-2 number, since 2×53542674432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25877494 + ... + 25879562.

It is an arithmetic number, because the mean of its divisors is an integer number (514344285).

Almost surely, 2^53542674432 is an apocalyptic number.

53542674432 is a gapful number since it is divisible by the number (52) 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 53542674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86409839880).

53542674432 is an abundant number, since it is smaller than the sum of its proper divisors (119277005328).

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

53542674432 is an equidigital number, since it uses as much as digits as its factorization.

53542674432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2087 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 53542674432 in words is "fifty-three billion, five hundred forty-two million, six hundred seventy-four thousand, four hundred thirty-two".