52506165600 has 1152 divisors, whose sum is σ = 233735040000. Its totient is φ = 11339274240.

The previous prime is 52506165583. The next prime is 52506165623. The reversal of 52506165600 is 656160525.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 140767014 + ... + 140767386.

It is an arithmetic number, because the mean of its divisors is an integer number (202895000).

Almost surely, 2^52506165600 is an apocalyptic number.

52506165600 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 52506165600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116867520000).

52506165600 is an abundant number, since it is smaller than the sum of its proper divisors (181228874400).

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

52506165600 is a wasteful number, since it uses less digits than its factorization.

52506165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 52506165600 in words is "fifty-two billion, five hundred six million, one hundred sixty-five thousand, six hundred".