531142262784 has 1080 divisors, whose sum is σ = 1940485332240. Its totient is φ = 139122966528.

The previous prime is 531142262773. The next prime is 531142262851. The reversal of 531142262784 is 487262241135.

531142262784 is a `hidden beast` number, since 5 + 3 + 1 + 14 + 2 + 2 + 627 + 8 + 4 = 666.

It is a super-2 number, since 2×531142262784² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7275921372 + ... + 7275921444.

It is an arithmetic number, because the mean of its divisors is an integer number (1796745678).

Almost surely, 2^531142262784 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 531142262784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970242666120).

531142262784 is an abundant number, since it is smaller than the sum of its proper divisors (1409343069456).

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

531142262784 is a wasteful number, since it uses less digits than its factorization.

531142262784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 157 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 531142262784 in words is "five hundred thirty-one billion, one hundred forty-two million, two hundred sixty-two thousand, seven hundred eighty-four".