52469568000 has 480 divisors, whose sum is σ = 191796688512. Its totient is φ = 13784064000.

The previous prime is 52469567999. The next prime is 52469568049. The reversal of 52469568000 is 86596425.

52469568000 is a `hidden beast` number, since 5 + 24 + 69 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×52469568000³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40895359 + ... + 40896641.

Almost surely, 2^52469568000 is an apocalyptic number.

52469568000 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 52469568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95898344256).

52469568000 is an abundant number, since it is smaller than the sum of its proper divisors (139327120512).

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

52469568000 is a wasteful number, since it uses less digits than its factorization.

52469568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 52469568000 in words is "fifty-two billion, four hundred sixty-nine million, five hundred sixty-eight thousand".