531980250278400 has 3600 divisors, whose sum is σ = 2469350478909600. Its totient is φ = 108422789529600.

The previous prime is 531980250278387. The next prime is 531980250278507. The reversal of 531980250278400 is 4872052089135.

531980250278400 is a `hidden beast` number, since 5 + 3 + 1 + 9 + 80 + 250 + 278 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 161254999951 + ... + 161255003249.

It is an arithmetic number, because the mean of its divisors is an integer number (685930688586).

Almost surely, 2^{531980250278400} is an apocalyptic number.

531980250278400 is a gapful number since it is divisible by the number (50) 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 531980250278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234675239454800).

531980250278400 is an abundant number, since it is smaller than the sum of its proper divisors (1937370228631200).

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

531980250278400 is a wasteful number, since it uses less digits than its factorization.

531980250278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 531980250278400 in words is "five hundred thirty-one trillion, nine hundred eighty billion, two hundred fifty million, two hundred seventy-eight thousand, four hundred".