36089359764480 has 704 divisors, whose sum is σ = 141487225113600. Its totient is φ = 8650600611840.

The previous prime is 36089359764449. The next prime is 36089359764481. The reversal of 36089359764480 is 8446795398063.

36089359764480 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 93 + 5 + 97 + 6 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 36089359764399 and 36089359764408.

It is not an unprimeable number, because it can be changed into a prime (36089359764481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135203629 + ... + 135470291.

Almost surely, 2^{36089359764480} is an apocalyptic number.

36089359764480 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 36089359764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70743612556800).

36089359764480 is an abundant number, since it is smaller than the sum of its proper divisors (105397865349120).

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

36089359764480 is a wasteful number, since it uses less digits than its factorization.

36089359764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266797 (or 266773 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 36089359764480 in words is "thirty-six trillion, eighty-nine billion, three hundred fifty-nine million, seven hundred sixty-four thousand, four hundred eighty".