36081072000000 has 1540 divisors, whose sum is σ = 141914454565480. Its totient is φ = 9055641600000.

The previous prime is 36081071999977. The next prime is 36081072000047. The reversal of 36081072000000 is 27018063.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2122415999992 + ... + 2122416000008.

Almost surely, 2^{36081072000000} is an apocalyptic number.

36081072000000 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 36081072000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70957227282740).

36081072000000 is an abundant number, since it is smaller than the sum of its proper divisors (105833382565480).

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

36081072000000 is an frugal number, since it uses more digits than its factorization.

36081072000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Multiplying 36081072000000 by its sum of digits (27), we get a square (974188944000000 = 31212000²).

36081072000000 divided by its sum of digits (27) gives a square (1336336000000 = 1156000²).

Adding to 36081072000000 its reverse (27018063), we get a palindrome (36081099018063).

The spelling of 36081072000000 in words is "thirty-six trillion, eighty-one billion, seventy-two million", and thus it is an aban number and an uban number.