52416788577600 has 672 divisors, whose sum is σ = 181011674511360. Its totient is φ = 13265788354560.

The previous prime is 52416788577533. The next prime is 52416788577607. The reversal of 52416788577600 is 677588761425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52416788577607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1348391764 + ... + 1348430636.

It is an arithmetic number, because the mean of its divisors is an integer number (269362610880).

Almost surely, 2^{52416788577600} is an apocalyptic number.

52416788577600 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 52416788577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90505837255680).

52416788577600 is an abundant number, since it is smaller than the sum of its proper divisors (128594885933760).

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

52416788577600 is a wasteful number, since it uses less digits than its factorization.

52416788577600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39127 (or 39112 counting only the distinct ones).

The product of its (nonzero) digits is 158054400, while the sum is 66.

The spelling of 52416788577600 in words is "fifty-two trillion, four hundred sixteen billion, seven hundred eighty-eight million, five hundred seventy-seven thousand, six hundred".