531905990400 has 162 divisors, whose sum is σ = 1901684169840. Its totient is φ = 141841582080.

The previous prime is 531905990359. The next prime is 531905990417. The reversal of 531905990400 is 4099509135.

It is a happy number.

531905990400 is a `hidden beast` number, since 5 + 3 + 19 + 0 + 599 + 0 + 40 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4559640 + ... + 4674839.

Almost surely, 2^531905990400 is an apocalyptic number.

531905990400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

531905990400 is an abundant number, since it is smaller than the sum of its proper divisors (1369778179440).

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

531905990400 is a wasteful number, since it uses less digits than its factorization.

531905990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234511 (or 9234489 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 531905990400 in words is "five hundred thirty-one billion, nine hundred five million, nine hundred ninety thousand, four hundred".