531322552200000 has 672 divisors, whose sum is σ = 1918203083145216. Its totient is φ = 128715552000000.

The previous prime is 531322552199983. The next prime is 531322552200017. The reversal of 531322552200000 is 2255223135.

It is an interprime number because it is at equal distance from previous prime (531322552199983) and next prime (531322552200017).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 9708572637 + ... + 9708627363.

It is an arithmetic number, because the mean of its divisors is an integer number (2854468873728).

Almost surely, 2^{531322552200000} is an apocalyptic number.

531322552200000 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 531322552200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959101541572608).

531322552200000 is an abundant number, since it is smaller than the sum of its proper divisors (1386880530945216).

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

531322552200000 is a wasteful number, since it uses less digits than its factorization.

531322552200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56249 (or 56219 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 531322552200000 in words is "five hundred thirty-one trillion, three hundred twenty-two billion, five hundred fifty-two million, two hundred thousand".