52656576000 has 960 divisors, whose sum is σ = 211766892480. Its totient is φ = 11560550400.

The previous prime is 52656575989. The next prime is 52656576013. The reversal of 52656576000 is 67565625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 272831904 + ... + 272832096.

It is an arithmetic number, because the mean of its divisors is an integer number (220590513).

Almost surely, 2^52656576000 is an apocalyptic number.

52656576000 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 52656576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105883446240).

52656576000 is an abundant number, since it is smaller than the sum of its proper divisors (159110316480).

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

52656576000 is a wasteful number, since it uses less digits than its factorization.

52656576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 52656576000 in words is "fifty-two billion, six hundred fifty-six million, five hundred seventy-six thousand".