36520077613800 has 384 divisors, whose sum is σ = 127853816832000. Its totient is φ = 8543193984000.

The previous prime is 36520077613783. The next prime is 36520077613801. The reversal of 36520077613800 is 831677002563.

36520077613800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 36520077613800.

It is not an unprimeable number, because it can be changed into a prime (36520077613801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71149677 + ... + 71661123.

It is an arithmetic number, because the mean of its divisors is an integer number (332952648000).

Almost surely, 2^{36520077613800} is an apocalyptic number.

36520077613800 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 36520077613800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63926908416000).

36520077613800 is an abundant number, since it is smaller than the sum of its proper divisors (91333739218200).

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

36520077613800 is a wasteful number, since it uses less digits than its factorization.

36520077613800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511857 (or 511848 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The spelling of 36520077613800 in words is "thirty-six trillion, five hundred twenty billion, seventy-seven million, six hundred thirteen thousand, eight hundred".