52545945600 has 288 divisors, whose sum is σ = 188254792440. Its totient is φ = 14010286080.

The previous prime is 52545945509. The next prime is 52545945637. The reversal of 52545945600 is 654954525.

52545945600 is a `hidden beast` number, since 5 + 2 + 5 + 4 + 594 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×52545945600² (a number of 22 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 17 ways as a sum of consecutive naturals, for example, 7369237 + ... + 7376363.

Almost surely, 2^52545945600 is an apocalyptic number.

52545945600 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 52545945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94127396220).

52545945600 is an abundant number, since it is smaller than the sum of its proper divisors (135708846840).

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

52545945600 is an equidigital number, since it uses as much as digits as its factorization.

52545945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7173 (or 7137 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 52545945600 in words is "fifty-two billion, five hundred forty-five million, nine hundred forty-five thousand, six hundred".