536441304000 has 896 divisors, whose sum is σ = 2116492185600. Its totient is φ = 117127987200.

The previous prime is 536441303953. The next prime is 536441304031. The reversal of 536441304000 is 403144635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 501815466 + ... + 501816534.

Almost surely, 2^536441304000 is an apocalyptic number.

536441304000 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 536441304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058246092800).

536441304000 is an abundant number, since it is smaller than the sum of its proper divisors (1580050881600).

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

536441304000 is a wasteful number, since it uses less digits than its factorization.

536441304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 536441304000 its reverse (403144635), we get a palindrome (536844448635).

The spelling of 536441304000 in words is "five hundred thirty-six billion, four hundred forty-one million, three hundred four thousand".