53868074803200 has 2688 divisors, whose sum is σ = 240483147379200. Its totient is φ = 11557907988480.

The previous prime is 53868074803189. The next prime is 53868074803217. The reversal of 53868074803200 is 230847086835.

53868074803200 is a `hidden beast` number, since 5 + 3 + 86 + 80 + 7 + 480 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41532824952 + ... + 41532826248.

Almost surely, 2^{53868074803200} is an apocalyptic number.

53868074803200 is a gapful number since it is divisible by the number (50) 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 53868074803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120241573689600).

53868074803200 is an abundant number, since it is smaller than the sum of its proper divisors (186615072576000).

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

53868074803200 is a wasteful number, since it uses less digits than its factorization.

53868074803200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 53868074803200 in words is "fifty-three trillion, eight hundred sixty-eight billion, seventy-four million, eight hundred three thousand, two hundred".