502540540560 has 240 divisors, whose sum is σ = 1761786059904. Its totient is φ = 128132640768.

The previous prime is 502540540559. The next prime is 502540540571. The reversal of 502540540560 is 65045045205.

502540540560 is a `hidden beast` number, since 5 + 0 + 2 + 5 + 40 + 54 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×502540540560² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57409144 + ... + 57417896.

Almost surely, 2^502540540560 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 502540540560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880893029952).

502540540560 is an abundant number, since it is smaller than the sum of its proper divisors (1259245519344).

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

502540540560 is a wasteful number, since it uses less digits than its factorization.

502540540560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

Adding to 502540540560 its reverse (65045045205), we get a palindrome (567585585765).

The spelling of 502540540560 in words is "five hundred two billion, five hundred forty million, five hundred forty thousand, five hundred sixty".