36003778126056 has 704 divisors, whose sum is σ = 112713982128720. Its totient is φ = 10709769093120.

The previous prime is 36003778126009. The next prime is 36003778126081. The reversal of 36003778126056 is 65062187730063.

36003778126056 is a `hidden beast` number, since 3 + 6 + 0 + 0 + 377 + 8 + 1 + 260 + 5 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10304292600900 + 25699485525156 = 3210030^2 + 5069466^2 .

It is a super-2 number, since 2×36003778126056² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36003778125993 and 36003778126011.

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 43853566126 + ... + 43853566946.

Almost surely, 2^{36003778126056} is an apocalyptic number.

36003778126056 is a gapful number since it is divisible by the number (36) 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 36003778126056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56356991064360).

36003778126056 is an abundant number, since it is smaller than the sum of its proper divisors (76710204002664).

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

36003778126056 is a wasteful number, since it uses less digits than its factorization.

36003778126056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 36003778126056 in words is "thirty-six trillion, three billion, seven hundred seventy-eight million, one hundred twenty-six thousand, fifty-six".