535541350230400 has 192 divisors, whose sum is σ = 1328291521290000. Its totient is φ = 213353007390720.

The previous prime is 535541350230373. The next prime is 535541350230529. The reversal of 535541350230400 is 4032053145535.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2117483151 + ... + 2117736049.

Almost surely, 2^{535541350230400} is an apocalyptic number.

535541350230400 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 535541350230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664145760645000).

535541350230400 is an abundant number, since it is smaller than the sum of its proper divisors (792750171059600).

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

535541350230400 is a wasteful number, since it uses less digits than its factorization.

535541350230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255589 (or 255572 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 535541350230400 in words is "five hundred thirty-five trillion, five hundred forty-one billion, three hundred fifty million, two hundred thirty thousand, four hundred".