52505585917488 has 1080 divisors, whose sum is σ = 173200381466112. Its totient is φ = 14822402918400.

The previous prime is 52505585917487. The next prime is 52505585917493. The reversal of 52505585917488 is 88471958550525.

52505585917488 is a `hidden beast` number, since 5 + 2 + 5 + 0 + 5 + 58 + 5 + 91 + 7 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (52505585917487) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 59194572181 + ... + 59194573067.

Almost surely, 2^{52505585917488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52505585917488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86600190733056).

52505585917488 is an abundant number, since it is smaller than the sum of its proper divisors (120694795548624).

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

52505585917488 is a wasteful number, since it uses less digits than its factorization.

52505585917488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 806400000, while the sum is 72.

The spelling of 52505585917488 in words is "fifty-two trillion, five hundred five billion, five hundred eighty-five million, nine hundred seventeen thousand, four hundred eighty-eight".