500860713600 has 576 divisors, whose sum is σ = 1995985686240. Its totient is φ = 123286302720.

The previous prime is 500860713557. The next prime is 500860713601. The reversal of 500860713600 is 6317068005.

500860713600 is a `hidden beast` number, since 500 + 86 + 0 + 7 + 13 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×500860713600² (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 not an unprimeable number, because it can be changed into a prime (500860713601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10084027 + ... + 10133573.

Almost surely, 2^500860713600 is an apocalyptic number.

500860713600 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 500860713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997992843120).

500860713600 is an abundant number, since it is smaller than the sum of its proper divisors (1495124972640).

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

500860713600 is a wasteful number, since it uses less digits than its factorization.

500860713600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49599 (or 49570 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 500860713600 in words is "five hundred billion, eight hundred sixty million, seven hundred thirteen thousand, six hundred".