52605532800 has 576 divisors, whose sum is σ = 193707914400. Its totient is φ = 13587701760.

The previous prime is 52605532799. The next prime is 52605532813. The reversal of 52605532800 is 823550625.

It is a happy number.

52605532800 is a `hidden beast` number, since 5 + 26 + 0 + 553 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141033414 + ... + 141033786.

Almost surely, 2^52605532800 is an apocalyptic number.

52605532800 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 52605532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96853957200).

52605532800 is an abundant number, since it is smaller than the sum of its proper divisors (141102381600).

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

52605532800 is a wasteful number, since it uses less digits than its factorization.

52605532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

It can be divided in two parts, 526055 and 32800, that added together give a palindrome (558855).

The spelling of 52605532800 in words is "fifty-two billion, six hundred five million, five hundred thirty-two thousand, eight hundred".