531883376640 has 1440 divisors, whose sum is σ = 2390780980224. Its totient is φ = 110202716160.

The previous prime is 531883376627. The next prime is 531883376657. The reversal of 531883376640 is 46673388135.

531883376640 is a `hidden beast` number, since 53 + 188 + 3 + 376 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1532804947 + ... + 1532805293.

Almost surely, 2^531883376640 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 531883376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195390490112).

531883376640 is an abundant number, since it is smaller than the sum of its proper divisors (1858897603584).

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

531883376640 is an equidigital number, since it uses as much as digits as its factorization.

531883376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 531883376640 in words is "five hundred thirty-one billion, eight hundred eighty-three million, three hundred seventy-six thousand, six hundred forty".