53358356275200 has 3360 divisors, whose sum is σ = 221504786595840. Its totient is φ = 12641461862400.

The previous prime is 53358356275193. The next prime is 53358356275313. The reversal of 53358356275200 is 257265385335.

53358356275200 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 8 + 3 + 5 + 627 + 5 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×53358356275200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 420144537537 + ... + 420144537663.

Almost surely, 2^{53358356275200} is an apocalyptic number.

53358356275200 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 53358356275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110752393297920).

53358356275200 is an abundant number, since it is smaller than the sum of its proper divisors (168146430320640).

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

53358356275200 is a wasteful number, since it uses less digits than its factorization.

53358356275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 53358356275200 in words is "fifty-three trillion, three hundred fifty-eight billion, three hundred fifty-six million, two hundred seventy-five thousand, two hundred".