52463445052800 has 768 divisors, whose sum is σ = 179472908623680. Its totient is φ = 13460924006400.

The previous prime is 52463445052771. The next prime is 52463445052813. The reversal of 52463445052800 is 825054436425.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 52463445052800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8465939302 + ... + 8465945498.

Almost surely, 2^{52463445052800} is an apocalyptic number.

52463445052800 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 52463445052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89736454311840).

52463445052800 is an abundant number, since it is smaller than the sum of its proper divisors (127009463570880).

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

52463445052800 is a wasteful number, since it uses less digits than its factorization.

52463445052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6542 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 48.

The spelling of 52463445052800 in words is "fifty-two trillion, four hundred sixty-three billion, four hundred forty-five million, fifty-two thousand, eight hundred".