52865162649600 has 2016 divisors, whose sum is σ = 210708072945216. Its totient is φ = 11653034803200.

The previous prime is 52865162649599. The next prime is 52865162649613. The reversal of 52865162649600 is 694626156825.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125570457390 + ... + 125570457810.

It is an arithmetic number, because the mean of its divisors is an integer number (104517893326).

Almost surely, 2^{52865162649600} is an apocalyptic number.

52865162649600 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 52865162649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105354036472608).

52865162649600 is an abundant number, since it is smaller than the sum of its proper divisors (157842910295616).

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

52865162649600 is a wasteful number, since it uses less digits than its factorization.

52865162649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 52865162649600 in words is "fifty-two trillion, eight hundred sixty-five billion, one hundred sixty-two million, six hundred forty-nine thousand, six hundred".