52465569488640 has 6912 divisors, whose sum is σ = 270581907456000. Its totient is φ = 9354490675200.

The previous prime is 52465569488639. The next prime is 52465569488653. The reversal of 52465569488640 is 4688496556425.

52465569488640 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 556 + 9 + 4 + 8 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×52465569488640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 293103740071 + ... + 293103740249.

It is an arithmetic number, because the mean of its divisors is an integer number (39146688000).

Almost surely, 2^{52465569488640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52465569488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135290953728000).

52465569488640 is an abundant number, since it is smaller than the sum of its proper divisors (218116337967360).

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

52465569488640 is a wasteful number, since it uses less digits than its factorization.

52465569488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1990656000, while the sum is 72.

The spelling of 52465569488640 in words is "fifty-two trillion, four hundred sixty-five billion, five hundred sixty-nine million, four hundred eighty-eight thousand, six hundred forty".