36540655205472 has 72 divisors (see below), whose sum is σ = 113359078090440. Its totient is φ = 11072925818880.

The previous prime is 36540655205447. The next prime is 36540655205567. The reversal of 36540655205472 is 27450255604563.

36540655205472 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 0 + 65 + 520 + 54 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5767145697 + ... + 5767152032.

It is an arithmetic number, because the mean of its divisors is an integer number (1574431640145).

Almost surely, 2^{36540655205472} is an apocalyptic number.

36540655205472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36540655205472 is an abundant number, since it is smaller than the sum of its proper divisors (76818422884968).

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

36540655205472 is a wasteful number, since it uses less digits than its factorization.

36540655205472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534297756 (or 11534297745 counting only the distinct ones).

The product of its (nonzero) digits is 30240000, while the sum is 54.

The spelling of 36540655205472 in words is "thirty-six trillion, five hundred forty billion, six hundred fifty-five million, two hundred five thousand, four hundred seventy-two".