531240191763904 has 224 divisors, whose sum is σ = 1216527797624832. Its totient is φ = 225465369600000.

The previous prime is 531240191763871. The next prime is 531240191763923. The reversal of 531240191763904 is 409367191042135.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×531240191763904² (a number of 30 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 31 ways as a sum of consecutive naturals, for example, 52426738422 + ... + 52426748554.

It is an arithmetic number, because the mean of its divisors is an integer number (5430927667968).

Almost surely, 2^{531240191763904} 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 531240191763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608263898812416).

531240191763904 is an abundant number, since it is smaller than the sum of its proper divisors (685287605860928).

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

531240191763904 is a wasteful number, since it uses less digits than its factorization.

531240191763904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13035 (or 13025 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

The spelling of 531240191763904 in words is "five hundred thirty-one trillion, two hundred forty billion, one hundred ninety-one million, seven hundred sixty-three thousand, nine hundred four".