52958866137600 has 240 divisors, whose sum is σ = 175121903677248. Its totient is φ = 14108189245440.

The previous prime is 52958866137559. The next prime is 52958866137623. The reversal of 52958866137600 is 673166885925.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37593157 + ... + 38976443.

Almost surely, 2^{52958866137600} is an apocalyptic number.

52958866137600 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 52958866137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87560951838624).

52958866137600 is an abundant number, since it is smaller than the sum of its proper divisors (122163037539648).

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

52958866137600 is a wasteful number, since it uses less digits than its factorization.

52958866137600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384315 (or 1384294 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 66.

The spelling of 52958866137600 in words is "fifty-two trillion, nine hundred fifty-eight billion, eight hundred sixty-six million, one hundred thirty-seven thousand, six hundred".