36865558005120 has 1152 divisors, whose sum is σ = 140559316485120. Its totient is φ = 8897037926400.

The previous prime is 36865558005041. The next prime is 36865558005169. The reversal of 36865558005120 is 2150085556863.

36865558005120 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 5 + 5 + 580 + 0 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22742477910 + ... + 22742479530.

It is an arithmetic number, because the mean of its divisors is an integer number (122013295560).

Almost surely, 2^{36865558005120} is an apocalyptic number.

36865558005120 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 36865558005120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70279658242560).

36865558005120 is an abundant number, since it is smaller than the sum of its proper divisors (103693758480000).

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

36865558005120 is a wasteful number, since it uses less digits than its factorization.

36865558005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 36865558005120 in words is "thirty-six trillion, eight hundred sixty-five billion, five hundred fifty-eight million, five thousand, one hundred twenty".