536582726400 has 432 divisors, whose sum is σ = 2025839337984. Its totient is φ = 122524631040.

The previous prime is 536582726377. The next prime is 536582726443. The reversal of 536582726400 is 4627285635.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 536582726400.

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 47 ways as a sum of consecutive naturals, for example, 257106157 + ... + 257108243.

It is an arithmetic number, because the mean of its divisors is an integer number (4689442912).

Almost surely, 2^536582726400 is an apocalyptic number.

536582726400 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 536582726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012919668992).

536582726400 is an abundant number, since it is smaller than the sum of its proper divisors (1489256611584).

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

536582726400 is a wasteful number, since it uses less digits than its factorization.

536582726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 536582726400 in words is "five hundred thirty-six billion, five hundred eighty-two million, seven hundred twenty-six thousand, four hundred".