52736512147200 has 2160 divisors, whose sum is σ = 233502094465024. Its totient is φ = 11489469235200.

The previous prime is 52736512147141. The next prime is 52736512147213. The reversal of 52736512147200 is 274121563725.

52736512147200 is a `hidden beast` number, since 5 + 2 + 7 + 365 + 1 + 214 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×52736512147200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7537014102 + ... + 7537021098.

Almost surely, 2^{52736512147200} is an apocalyptic number.

52736512147200 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 52736512147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116751047232512).

52736512147200 is an abundant number, since it is smaller than the sum of its proper divisors (180765582317824).

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

52736512147200 is a wasteful number, since it uses less digits than its factorization.

52736512147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7140 (or 7112 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 52736512147200 in words is "fifty-two trillion, seven hundred thirty-six billion, five hundred twelve million, one hundred forty-seven thousand, two hundred".