36040107755520 has 2304 divisors, whose sum is σ = 151815644547840. Its totient is φ = 8102766182400.

The previous prime is 36040107755471. The next prime is 36040107755567. The reversal of 36040107755520 is 2555770104063.

It is a happy number.

36040107755520 is a `hidden beast` number, since 3 + 6 + 0 + 4 + 0 + 1 + 0 + 77 + 55 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33968055790 + ... + 33968056850.

It is an arithmetic number, because the mean of its divisors is an integer number (65892206835).

Almost surely, 2^{36040107755520} is an apocalyptic number.

36040107755520 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 36040107755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75907822273920).

36040107755520 is an abundant number, since it is smaller than the sum of its proper divisors (115775536792320).

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

36040107755520 is a wasteful number, since it uses less digits than its factorization.

36040107755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

Adding to 36040107755520 its reverse (2555770104063), we get a palindrome (38595877859583).

The spelling of 36040107755520 in words is "thirty-six trillion, forty billion, one hundred seven million, seven hundred fifty-five thousand, five hundred twenty".