52909328736000 has 1152 divisors, whose sum is σ = 215585838074880. Its totient is φ = 12671778816000.

The previous prime is 52909328735933. The next prime is 52909328736053. The reversal of 52909328736000 is 63782390925.

It is a happy number.

52909328736000 is a `hidden beast` number, since 5 + 2 + 9 + 0 + 9 + 3 + 28 + 7 + 3 + 600 + 0 = 666.

52909328736000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 788798464 + ... + 788865536.

It is an arithmetic number, because the mean of its divisors is an integer number (187140484440).

Almost surely, 2^{52909328736000} is an apocalyptic number.

52909328736000 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 52909328736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107792919037440).

52909328736000 is an abundant number, since it is smaller than the sum of its proper divisors (162676509338880).

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

52909328736000 is a wasteful number, since it uses less digits than its factorization.

52909328736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67207 (or 67177 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 52909328736000 in words is "fifty-two trillion, nine hundred nine billion, three hundred twenty-eight million, seven hundred thirty-six thousand".