52064651944800 has 720 divisors, whose sum is σ = 218032204420800. Its totient is φ = 11957428915200.

The previous prime is 52064651944717. The next prime is 52064651944817. The reversal of 52064651944800 is 844915646025.

It is a happy number.

52064651944800 is a `hidden beast` number, since 5 + 2 + 0 + 6 + 4 + 6 + 519 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11621031 + ... + 15465369.

It is an arithmetic number, because the mean of its divisors is an integer number (302822506140).

Almost surely, 2^{52064651944800} is an apocalyptic number.

52064651944800 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 52064651944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109016102210400).

52064651944800 is an abundant number, since it is smaller than the sum of its proper divisors (165967552476000).

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

52064651944800 is a wasteful number, since it uses less digits than its factorization.

52064651944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844401 (or 3844379 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 52064651944800 in words is "fifty-two trillion, sixty-four billion, six hundred fifty-one million, nine hundred forty-four thousand, eight hundred".