534817065400 has 288 divisors, whose sum is σ = 1363625334000. Its totient is φ = 194516121600.

The previous prime is 534817065371. The next prime is 534817065413. The reversal of 534817065400 is 4560718435.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 500296066 + ... + 500297134.

Almost surely, 2^534817065400 is an apocalyptic number.

534817065400 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 534817065400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681812667000).

534817065400 is an abundant number, since it is smaller than the sum of its proper divisors (828808268600).

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

534817065400 is a wasteful number, since it uses less digits than its factorization.

534817065400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 534817065400 in words is "five hundred thirty-four billion, eight hundred seventeen million, sixty-five thousand, four hundred".