53880307200 has 720 divisors, whose sum is σ = 201352179600. Its totient is φ = 13748797440.

The previous prime is 53880307193. The next prime is 53880307213. The reversal of 53880307200 is 270308835.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 361612726 + ... + 361612874.

It is an arithmetic number, because the mean of its divisors is an integer number (279655805).

Almost surely, 2^53880307200 is an apocalyptic number.

53880307200 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 53880307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100676089800).

53880307200 is an abundant number, since it is smaller than the sum of its proper divisors (147471872400).

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

53880307200 is a wasteful number, since it uses less digits than its factorization.

53880307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 53880307200 in words is "fifty-three billion, eight hundred eighty million, three hundred seven thousand, two hundred".