531404961696 has 384 divisors, whose sum is σ = 1912116326400. Its totient is φ = 140219735040.

The previous prime is 531404961691. The next prime is 531404961733. The reversal of 531404961696 is 696169404135.

It is a happy number.

531404961696 is a `hidden beast` number, since 5 + 3 + 14 + 0 + 4 + 9 + 616 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (531404961691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3968151 + ... + 4099881.

It is an arithmetic number, because the mean of its divisors is an integer number (4979469600).

Almost surely, 2^531404961696 is an apocalyptic number.

531404961696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531404961696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956058163200).

531404961696 is an abundant number, since it is smaller than the sum of its proper divisors (1380711364704).

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

531404961696 is a wasteful number, since it uses less digits than its factorization.

531404961696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131809 (or 131795 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 531404961696 in words is "five hundred thirty-one billion, four hundred four million, nine hundred sixty-one thousand, six hundred ninety-six".