36162130536000 has 2688 divisors, whose sum is σ = 157812184857600. Its totient is φ = 8193540096000.

The previous prime is 36162130535981. The next prime is 36162130536017. The reversal of 36162130536000 is 63503126163.

36162130536000 is a `hidden beast` number, since 3 + 6 + 16 + 2 + 1 + 30 + 5 + 3 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128690855860 + ... + 128690856140.

It is an arithmetic number, because the mean of its divisors is an integer number (58709890200).

Almost surely, 2^{36162130536000} is an apocalyptic number.

36162130536000 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 36162130536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78906092428800).

36162130536000 is an abundant number, since it is smaller than the sum of its proper divisors (121650054321600).

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

36162130536000 is an equidigital number, since it uses as much as digits as its factorization.

36162130536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 36162130536000 in words is "thirty-six trillion, one hundred sixty-two billion, one hundred thirty million, five hundred thirty-six thousand".