36035881661520 has 800 divisors, whose sum is σ = 137213839002240. Its totient is φ = 8710876753920.

The previous prime is 36035881661513. The next prime is 36035881661539. The reversal of 36035881661520 is 2516618853063.

It is a happy number.

36035881661520 is a `hidden beast` number, since 3 + 6 + 0 + 3 + 5 + 8 + 8 + 16 + 615 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5551665475 + ... + 5551671965.

Almost surely, 2^{36035881661520} is an apocalyptic number.

36035881661520 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 36035881661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68606919501120).

36035881661520 is an abundant number, since it is smaller than the sum of its proper divisors (101177957340720).

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

36035881661520 is a wasteful number, since it uses less digits than its factorization.

36035881661520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7705 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 36035881661520 in words is "thirty-six trillion, thirty-five billion, eight hundred eighty-one million, six hundred sixty-one thousand, five hundred twenty".