532916572406400 has 2304 divisors, whose sum is σ = 2520935929774080. Its totient is φ = 104081117184000.

The previous prime is 532916572406399. The next prime is 532916572406441. The reversal of 532916572406400 is 4604275619235.

It is a happy number.

532916572406400 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 1 + 6 + 572 + 4 + 0 + 64 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1868487805 + ... + 1868772995.

It is an arithmetic number, because the mean of its divisors is an integer number (1094156219520).

Almost surely, 2^{532916572406400} is an apocalyptic number.

532916572406400 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 532916572406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260467964887040).

532916572406400 is an abundant number, since it is smaller than the sum of its proper divisors (1988019357367680).

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

532916572406400 is a wasteful number, since it uses less digits than its factorization.

532916572406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285295 (or 285275 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 532916572406400 in words is "five hundred thirty-two trillion, nine hundred sixteen billion, five hundred seventy-two million, four hundred six thousand, four hundred".