36008071987200 has 612 divisors, whose sum is σ = 126486634489800. Its totient is φ = 9036963512320.

The previous prime is 36008071987189. The next prime is 36008071987207. The reversal of 36008071987200 is 278917080063.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36008071987207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1420480126 + ... + 1420505474.

Almost surely, 2^{36008071987200} is an apocalyptic number.

36008071987200 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 36008071987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63243317244900).

36008071987200 is an abundant number, since it is smaller than the sum of its proper divisors (90478562502600).

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

36008071987200 is an equidigital number, since it uses as much as digits as its factorization.

36008071987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25428 (or 25376 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 36008071987200 in words is "thirty-six trillion, eight billion, seventy-one million, nine hundred eighty-seven thousand, two hundred".