53557565347200 has 384 divisors, whose sum is σ = 185846904144000. Its totient is φ = 13518878883840.

The previous prime is 53557565347183. The next prime is 53557565347211. The reversal of 53557565347200 is 274356575535.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216385116 + ... + 216632484.

It is an arithmetic number, because the mean of its divisors is an integer number (483976312875).

Almost surely, 2^{53557565347200} is an apocalyptic number.

53557565347200 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 53557565347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92923452072000).

53557565347200 is an abundant number, since it is smaller than the sum of its proper divisors (132289338796800).

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

53557565347200 is a wasteful number, since it uses less digits than its factorization.

53557565347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248602 (or 248585 counting only the distinct ones).

The product of its (nonzero) digits is 66150000, while the sum is 57.

The spelling of 53557565347200 in words is "fifty-three trillion, five hundred fifty-seven billion, five hundred sixty-five million, three hundred forty-seven thousand, two hundred".