53542513200 has 480 divisors, whose sum is σ = 199073687040. Its totient is φ = 12157337600.

The previous prime is 53542513181. The next prime is 53542513207. The reversal of 53542513200 is 231524535.

53542513200 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 (30).

It is not an unprimeable number, because it can be changed into a prime (53542513207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60363157 + ... + 60364043.

It is an arithmetic number, because the mean of its divisors is an integer number (414736848).

Almost surely, 2^53542513200 is an apocalyptic number.

53542513200 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 53542513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99536843520).

53542513200 is an abundant number, since it is smaller than the sum of its proper divisors (145531173840).

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

53542513200 is a wasteful number, since it uses less digits than its factorization.

53542513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 53542513200 in words is "fifty-three billion, five hundred forty-two million, five hundred thirteen thousand, two hundred".