53625323980800 has 4608 divisors, whose sum is σ = 249308118259200. Its totient is φ = 11236854988800.

The previous prime is 53625323980771. The next prime is 53625323980847. The reversal of 53625323980800 is 808932352635.

53625323980800 is a `hidden beast` number, since 5 + 3 + 6 + 253 + 239 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 272209766302 + ... + 272209766498.

It is an arithmetic number, because the mean of its divisors is an integer number (54103324275).

Almost surely, 2^{53625323980800} is an apocalyptic number.

53625323980800 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 53625323980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124654059129600).

53625323980800 is an abundant number, since it is smaller than the sum of its proper divisors (195682794278400).

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

53625323980800 is a wasteful number, since it uses less digits than its factorization.

53625323980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 53625323980800 in words is "fifty-three trillion, six hundred twenty-five billion, three hundred twenty-three million, nine hundred eighty thousand, eight hundred".