52097218084800 has 252 divisors, whose sum is σ = 211618073329936. Its totient is φ = 11907935539200.

The previous prime is 52097218084789. The next prime is 52097218084837. The reversal of 52097218084800 is 848081279025.

52097218084800 is a `hidden beast` number, since 52 + 0 + 97 + 21 + 8 + 0 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 258317941 + ... + 258519540.

Almost surely, 2^{52097218084800} is an apocalyptic number.

52097218084800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52097218084800 is an abundant number, since it is smaller than the sum of its proper divisors (159520855245136).

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

52097218084800 is a wasteful number, since it uses less digits than its factorization.

52097218084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516837516 (or 516837498 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 52097218084800 in words is "fifty-two trillion, ninety-seven billion, two hundred eighteen million, eighty-four thousand, eight hundred".