53521212742200 has 2304 divisors, whose sum is σ = 230852188800000. Its totient is φ = 11329345843200.

The previous prime is 53521212742177. The next prime is 53521212742259. The reversal of 53521212742200 is 224721212535.

53521212742200 is a `hidden beast` number, since 5 + 3 + 5 + 212 + 12 + 7 + 422 + 0 + 0 = 666.

53521212742200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 61027608162 + ... + 61027609038.

It is an arithmetic number, because the mean of its divisors is an integer number (100196262500).

Almost surely, 2^{53521212742200} is an apocalyptic number.

53521212742200 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 53521212742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115426094400000).

53521212742200 is an abundant number, since it is smaller than the sum of its proper divisors (177330976057800).

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

53521212742200 is a wasteful number, since it uses less digits than its factorization.

53521212742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 53521212742200 its reverse (224721212535), we get a palindrome (53745933954735).

The spelling of 53521212742200 in words is "fifty-three trillion, five hundred twenty-one billion, two hundred twelve million, seven hundred forty-two thousand, two hundred".