36285846520 has 256 divisors, whose sum is σ = 109983744000. Its totient is φ = 10643834880.

The previous prime is 36285846517. The next prime is 36285846557. The reversal of 36285846520 is 2564858263.

36285846520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×36285846520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2558569 + ... + 2572711.

It is an arithmetic number, because the mean of its divisors is an integer number (429624000).

Almost surely, 2^36285846520 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 36285846520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54991872000).

36285846520 is an abundant number, since it is smaller than the sum of its proper divisors (73697897480).

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

36285846520 is a wasteful number, since it uses less digits than its factorization.

36285846520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14203 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 36285846520 in words is "thirty-six billion, two hundred eighty-five million, eight hundred forty-six thousand, five hundred twenty".