36131008000 has 320 divisors, whose sum is σ = 97182708480. Its totient is φ = 13353984000.

The previous prime is 36131007923. The next prime is 36131008009. The reversal of 36131008000 is 80013163.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36131008009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52287655 + ... + 52288345.

It is an arithmetic number, because the mean of its divisors is an integer number (303695964).

Almost surely, 2^36131008000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36131008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591354240).

36131008000 is an abundant number, since it is smaller than the sum of its proper divisors (61051700480).

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

36131008000 is an equidigital number, since it uses as much as digits as its factorization.

36131008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The spelling of 36131008000 in words is "thirty-six billion, one hundred thirty-one million, eight thousand".