52967865600 has 1728 divisors, whose sum is σ = 236322374400. Its totient is φ = 11466178560.

The previous prime is 52967865563. The next prime is 52967865607. The reversal of 52967865600 is 656876925.

It is a happy number.

52967865600 is a `hidden beast` number, since 5 + 2 + 9 + 6 + 78 + 6 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52967865607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 725587164 + ... + 725587236.

Almost surely, 2^52967865600 is an apocalyptic number.

52967865600 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 52967865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118161187200).

52967865600 is an abundant number, since it is smaller than the sum of its proper divisors (183354508800).

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

52967865600 is a wasteful number, since it uses less digits than its factorization.

52967865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 52967865600 in words is "fifty-two billion, nine hundred sixty-seven million, eight hundred sixty-five thousand, six hundred".