52597555200 has 816 divisors, whose sum is σ = 204785330400. Its totient is φ = 13212057600.

The previous prime is 52597555147. The next prime is 52597555207. The reversal of 52597555200 is 255579525.

It is a happy number.

52597555200 is a `hidden beast` number, since 5 + 2 + 5 + 97 + 5 + 552 + 0 + 0 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52597555207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282867180 + ... + 1282867220.

Almost surely, 2^52597555200 is an apocalyptic number.

52597555200 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 52597555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102392665200).

52597555200 is an abundant number, since it is smaller than the sum of its proper divisors (152187775200).

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

52597555200 is an equidigital number, since it uses as much as digits as its factorization.

52597555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The spelling of 52597555200 in words is "fifty-two billion, five hundred ninety-seven million, five hundred fifty-five thousand, two hundred".