36104621854560 has 288 divisors, whose sum is σ = 132305137316352. Its totient is φ = 8252017966080.

The previous prime is 36104621854541. The next prime is 36104621854589. The reversal of 36104621854560 is 6545812640163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580513065 + ... + 580575255.

It is an arithmetic number, because the mean of its divisors is an integer number (459392837904).

Almost surely, 2^{36104621854560} is an apocalyptic number.

36104621854560 is a gapful number since it is divisible by the number (30) 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 36104621854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66152568658176).

36104621854560 is an abundant number, since it is smaller than the sum of its proper divisors (96200515461792).

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

36104621854560 is a wasteful number, since it uses less digits than its factorization.

36104621854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86906 (or 86891 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 36104621854560 in words is "thirty-six trillion, one hundred four billion, six hundred twenty-one million, eight hundred fifty-four thousand, five hundred sixty".