531011486580120 has 1024 divisors, whose sum is σ = 2226040427520000. Its totient is φ = 111882741239808.

The previous prime is 531011486580097. The next prime is 531011486580199. The reversal of 531011486580120 is 21085684110135.

531011486580120 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 1 + 1 + 48 + 6 + 580 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3500952604 + ... + 3501104276.

It is an arithmetic number, because the mean of its divisors is an integer number (2173867605000).

Almost surely, 2^{531011486580120} 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 531011486580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113020213760000).

531011486580120 is an abundant number, since it is smaller than the sum of its proper divisors (1695028940939880).

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

531011486580120 is a wasteful number, since it uses less digits than its factorization.

531011486580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152454 (or 152430 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 531011486580120 in words is "five hundred thirty-one trillion, eleven billion, four hundred eighty-six million, five hundred eighty thousand, one hundred twenty".