36252788909568 has 1920 divisors, whose sum is σ = 130741328019456. Its totient is φ = 8661742387200.

The previous prime is 36252788909563. The next prime is 36252788909591. The reversal of 36252788909568 is 86590988725263.

It is a junction number, because it is equal to n+sod(n) for n = 36252788909493 and 36252788909502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36252788909563) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285455030721 + ... + 285455030847.

Almost surely, 2^{36252788909568} 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 36252788909568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65370664009728).

36252788909568 is an abundant number, since it is smaller than the sum of its proper divisors (94488539109888).

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

36252788909568 is a wasteful number, since it uses less digits than its factorization.

36252788909568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3135283200, while the sum is 78.

The spelling of 36252788909568 in words is "thirty-six trillion, two hundred fifty-two billion, seven hundred eighty-eight million, nine hundred nine thousand, five hundred sixty-eight".