53962384896 has 320 divisors, whose sum is σ = 185076249600. Its totient is φ = 15204630528.

The previous prime is 53962384841. The next prime is 53962384901. The reversal of 53962384896 is 69848326935.

53962384896 is a `hidden beast` number, since 5 + 396 + 238 + 4 + 8 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7060245 + ... + 7067883.

It is an arithmetic number, because the mean of its divisors is an integer number (578363280).

Almost surely, 2^53962384896 is an apocalyptic number.

53962384896 is a gapful number since it is divisible by the number (56) 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 53962384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92538124800).

53962384896 is an abundant number, since it is smaller than the sum of its proper divisors (131113864704).

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

53962384896 is an equidigital number, since it uses as much as digits as its factorization.

53962384896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7746 (or 7724 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 53962384896 in words is "fifty-three billion, nine hundred sixty-two million, three hundred eighty-four thousand, eight hundred ninety-six".