500113686240 has 1440 divisors, whose sum is σ = 2182635655200. Its totient is φ = 107226685440.

The previous prime is 500113686229. The next prime is 500113686277. The reversal of 500113686240 is 42686311005.

It is a happy number.

500113686240 is a `hidden beast` number, since 50 + 0 + 1 + 1 + 368 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×500113686240² (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 a junction number, because it is equal to n+sod(n) for n = 500113686195 and 500113686204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2183902446 + ... + 2183902674.

It is an arithmetic number, because the mean of its divisors is an integer number (1515719205).

Almost surely, 2^500113686240 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 500113686240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091317827600).

500113686240 is an abundant number, since it is smaller than the sum of its proper divisors (1682521968960).

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

500113686240 is a wasteful number, since it uses less digits than its factorization.

500113686240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 500113686240 its reverse (42686311005), we get a palindrome (542799997245).

The spelling of 500113686240 in words is "five hundred billion, one hundred thirteen million, six hundred eighty-six thousand, two hundred forty".