531049879920 has 320 divisors, whose sum is σ = 1983245921280. Its totient is φ = 114832318464.

The previous prime is 531049879907. The next prime is 531049879979. The reversal of 531049879920 is 29978940135.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23386012 + ... + 23408708.

It is an arithmetic number, because the mean of its divisors is an integer number (6197643504).

Almost surely, 2^531049879920 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 531049879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991622960640).

531049879920 is an abundant number, since it is smaller than the sum of its proper divisors (1452196041360).

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

531049879920 is a wasteful number, since it uses less digits than its factorization.

531049879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23472 (or 23466 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 531049879920 in words is "five hundred thirty-one billion, forty-nine million, eight hundred seventy-nine thousand, nine hundred twenty".