52467118241824 has 384 divisors, whose sum is σ = 129300159098880. Its totient is φ = 20621338214400.

The previous prime is 52467118241809. The next prime is 52467118241827. The reversal of 52467118241824 is 42814281176425.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52467118241827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1733231809 + ... + 1733262079.

It is an arithmetic number, because the mean of its divisors is an integer number (336719164320).

Almost surely, 2^{52467118241824} 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 52467118241824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64650079549440).

52467118241824 is an abundant number, since it is smaller than the sum of its proper divisors (76833040857056).

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

52467118241824 is a wasteful number, since it uses less digits than its factorization.

52467118241824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30724 (or 30716 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 55.

The spelling of 52467118241824 in words is "fifty-two trillion, four hundred sixty-seven billion, one hundred eighteen million, two hundred forty-one thousand, eight hundred twenty-four".