36081158400 has 1080 divisors, whose sum is σ = 155917006784. Its totient is φ = 8062156800.

The previous prime is 36081158389. The next prime is 36081158429. The reversal of 36081158400 is 485118063.

36081158400 is a `hidden beast` number, since 3 + 60 + 8 + 11 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 221356719 + ... + 221356881.

Almost surely, 2^36081158400 is an apocalyptic number.

36081158400 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 36081158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77958503392).

36081158400 is an abundant number, since it is smaller than the sum of its proper divisors (119835848384).

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

36081158400 is a wasteful number, since it uses less digits than its factorization.

36081158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

It can be divided in two parts, 36081 and 158400, that added together give a 4-th power (194481 = 21⁴).

The spelling of 36081158400 in words is "thirty-six billion, eighty-one million, one hundred fifty-eight thousand, four hundred".