531767060678880 has 480 divisors, whose sum is σ = 2021282282615904. Its totient is φ = 130881832833024.

The previous prime is 531767060678879. The next prime is 531767060678921. The reversal of 531767060678880 is 88876060767135.

531767060678880 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 6 + 7 + 0 + 606 + 7 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 531767060678799 and 531767060678808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542599019 + ... + 1542943701.

Almost surely, 2^{531767060678880} 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 531767060678880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010641141307952).

531767060678880 is an abundant number, since it is smaller than the sum of its proper divisors (1489515221937024).

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

531767060678880 is a wasteful number, since it uses less digits than its factorization.

531767060678880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353880 (or 353863 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 531767060678880 in words is "five hundred thirty-one trillion, seven hundred sixty-seven billion, sixty million, six hundred seventy-eight thousand, eight hundred eighty".