531615423200400 has 1440 divisors, whose sum is σ = 2351796163411968. Its totient is φ = 108009079603200.

The previous prime is 531615423200363. The next prime is 531615423200417. The reversal of 531615423200400 is 4002324516135.

531615423200400 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 1 + 5 + 42 + 3 + 200 + 400 = 666.

It is a super-2 number, since 2×531615423200400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 2231618097 + ... + 2231856303.

Almost surely, 2^{531615423200400} is an apocalyptic number.

531615423200400 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 531615423200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175898081705984).

531615423200400 is an abundant number, since it is smaller than the sum of its proper divisors (1820180740211568).

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

531615423200400 is a wasteful number, since it uses less digits than its factorization.

531615423200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238429 (or 238415 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 531615423200400 its reverse (4002324516135), we get a palindrome (535617747716535).

The spelling of 531615423200400 in words is "five hundred thirty-one trillion, six hundred fifteen billion, four hundred twenty-three million, two hundred thousand, four hundred".