531117169920 has 432 divisors, whose sum is σ = 1878532411392. Its totient is φ = 138509844480.

The previous prime is 531117169903. The next prime is 531117169943. The reversal of 531117169920 is 29961711135.

531117169920 is a `hidden beast` number, since 531 + 1 + 1 + 7 + 1 + 6 + 99 + 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 47 ways as a sum of consecutive naturals, for example, 103873284 + ... + 103878396.

It is an arithmetic number, because the mean of its divisors is an integer number (4348454656).

Almost surely, 2^531117169920 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 531117169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939266205696).

531117169920 is an abundant number, since it is smaller than the sum of its proper divisors (1347415241472).

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

531117169920 is a wasteful number, since it uses less digits than its factorization.

531117169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5338 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 531117169920 in words is "five hundred thirty-one billion, one hundred seventeen million, one hundred sixty-nine thousand, nine hundred twenty".