52013456640 has 360 divisors, whose sum is σ = 192129197568. Its totient is φ = 13421998080.

The previous prime is 52013456623. The next prime is 52013456647. The reversal of 52013456640 is 4665431025.

52013456640 is a `hidden beast` number, since 5 + 2 + 0 + 1 + 3 + 4 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×52013456640³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52013456595 and 52013456604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013456647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3205989 + ... + 3222171.

Almost surely, 2^52013456640 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 52013456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96064598784).

52013456640 is an abundant number, since it is smaller than the sum of its proper divisors (140115740928).

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

52013456640 is a wasteful number, since it uses less digits than its factorization.

52013456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16247 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 52013456640 its reverse (4665431025), we get a palindrome (56678887665).

The spelling of 52013456640 in words is "fifty-two billion, thirteen million, four hundred fifty-six thousand, six hundred forty".