36150591328992 has 144 divisors (see below), whose sum is σ = 117564794081280. Its totient is φ = 10322114247936.

The previous prime is 36150591328991. The next prime is 36150591329129. The reversal of 36150591328992 is 29982319505163.

36150591328992 is a `hidden beast` number, since 3 + 6 + 1 + 5 + 0 + 591 + 32 + 8 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36150591328991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2608128 + ... + 8894015.

It is an arithmetic number, because the mean of its divisors is an integer number (816422181120).

Almost surely, 2^{36150591328992} is an apocalyptic number.

36150591328992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36150591328992 is an abundant number, since it is smaller than the sum of its proper divisors (81414202752288).

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

36150591328992 is a wasteful number, since it uses less digits than its factorization.

36150591328992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11503725 (or 11503714 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 36150591328992 in words is "thirty-six trillion, one hundred fifty billion, five hundred ninety-one million, three hundred twenty-eight thousand, nine hundred ninety-two".