36391095866880 has 2240 divisors, whose sum is σ = 140357394587520. Its totient is φ = 9029615616000.

The previous prime is 36391095866809. The next prime is 36391095866887. The reversal of 36391095866880 is 8866859019363.

36391095866880 is a `hidden beast` number, since 3 + 6 + 39 + 1 + 0 + 9 + 586 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 36391095866799 and 36391095866808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36391095866887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 241000634805 + ... + 241000634955.

Almost surely, 2^{36391095866880} is an apocalyptic number.

36391095866880 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 36391095866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70178697293760).

36391095866880 is an abundant number, since it is smaller than the sum of its proper divisors (103966298720640).

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

36391095866880 is an equidigital number, since it uses as much as digits as its factorization.

36391095866880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 36391095866880 in words is "thirty-six trillion, three hundred ninety-one billion, ninety-five million, eight hundred sixty-six thousand, eight hundred eighty".