531751991400 has 960 divisors, whose sum is σ = 2214158284800. Its totient is φ = 116120252160.

The previous prime is 531751991369. The next prime is 531751991401. The reversal of 531751991400 is 4199157135.

531751991400 is a `hidden beast` number, since 5 + 3 + 1 + 7 + 519 + 91 + 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 not an unprimeable number, because it can be changed into a prime (531751991401) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 633792181 + ... + 633793019.

It is an arithmetic number, because the mean of its divisors is an integer number (2306414880).

Almost surely, 2^531751991400 is an apocalyptic number.

531751991400 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 531751991400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107079142400).

531751991400 is an abundant number, since it is smaller than the sum of its proper divisors (1682406293400).

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

531751991400 is an equidigital number, since it uses as much as digits as its factorization.

531751991400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 531751991400 in words is "five hundred thirty-one billion, seven hundred fifty-one million, nine hundred ninety-one thousand, four hundred".