36255925689984 has 3024 divisors, whose sum is σ = 151248357622530. Its totient is φ = 8570296627200.

The previous prime is 36255925689983. The next prime is 36255925689989. The reversal of 36255925689984 is 48998652955263.

36255925689984 is a `hidden beast` number, since 3 + 6 + 2 + 559 + 2 + 56 + 8 + 9 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34861467009600 + 1394458680384 = 5904360^2 + 1180872^2 .

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (36255925689983) by changing a digit.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 510646840669 + ... + 510646840739.

Almost surely, 2^{36255925689984} 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 36255925689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75624178811265).

36255925689984 is an abundant number, since it is smaller than the sum of its proper divisors (114992431932546).

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

36255925689984 is an equidigital number, since it uses as much as digits as its factorization.

36255925689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 107 counting only the distinct ones).

The product of its digits is 10077696000, while the sum is 81.

The spelling of 36255925689984 in words is "thirty-six trillion, two hundred fifty-five billion, nine hundred twenty-five million, six hundred eighty-nine thousand, nine hundred eighty-four".