36013540410000 has 2800 divisors, whose sum is σ = 142872760081920. Its totient is φ = 8767595520000.

The previous prime is 36013540409953. The next prime is 36013540410011. The reversal of 36013540410000 is 1404531063.

36013540410000 is a `hidden beast` number, since 3 + 6 + 0 + 13 + 540 + 4 + 100 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 559 ways as a sum of consecutive naturals, for example, 493336169964 + ... + 493336170036.

Almost surely, 2^{36013540410000} is an apocalyptic number.

36013540410000 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 36013540410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71436380040960).

36013540410000 is an abundant number, since it is smaller than the sum of its proper divisors (106859219671920).

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

36013540410000 is an equidigital number, since it uses as much as digits as its factorization.

36013540410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 36013540410000 its reverse (1404531063), we get a palindrome (36014944941063).

The spelling of 36013540410000 in words is "thirty-six trillion, thirteen billion, five hundred forty million, four hundred ten thousand".