36026145792 has 1056 divisors, whose sum is σ = 139531904512. Its totient is φ = 9029615616.

The previous prime is 36026145787. The next prime is 36026145811. The reversal of 36026145792 is 29754162063.

36026145792 is a `hidden beast` number, since 3 + 60 + 2 + 6 + 14 + 579 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 837817323 + ... + 837817365.

Almost surely, 2^36026145792 is an apocalyptic number.

36026145792 is a gapful number since it is divisible by the number (32) 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 36026145792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69765952256).

36026145792 is an abundant number, since it is smaller than the sum of its proper divisors (103505758720).

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

36026145792 is a wasteful number, since it uses less digits than its factorization.

36026145792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 36026145792 in words is "thirty-six billion, twenty-six million, one hundred forty-five thousand, seven hundred ninety-two".