53053933363200 has 3024 divisors, whose sum is σ = 252896376096000. Its totient is φ = 10370521497600.

The previous prime is 53053933363177. The next prime is 53053933363241. The reversal of 53053933363200 is 236333935035.

53053933363200 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 3 + 9 + 3 + 3 + 3 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×53053933363200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 26540235801 + ... + 26540237799.

It is an arithmetic number, because the mean of its divisors is an integer number (83629754000).

Almost surely, 2^{53053933363200} is an apocalyptic number.

53053933363200 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 53053933363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126448188048000).

53053933363200 is an abundant number, since it is smaller than the sum of its proper divisors (199842442732800).

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

53053933363200 is a wasteful number, since it uses less digits than its factorization.

53053933363200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 45.

The spelling of 53053933363200 in words is "fifty-three trillion, fifty-three billion, nine hundred thirty-three million, three hundred sixty-three thousand, two hundred".