36361389520800 has 576 divisors, whose sum is σ = 140697863510400. Its totient is φ = 9035438284800.

The previous prime is 36361389520787. The next prime is 36361389520817. The reversal of 36361389520800 is 802598316363.

It is a happy number.

36361389520800 is a `hidden beast` number, since 3 + 6 + 3 + 6 + 1 + 38 + 9 + 520 + 80 + 0 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 24308172 + ... + 25760628.

It is an arithmetic number, because the mean of its divisors is an integer number (244267124150).

Almost surely, 2^{36361389520800} is an apocalyptic number.

36361389520800 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 36361389520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70348931755200).

36361389520800 is an abundant number, since it is smaller than the sum of its proper divisors (104336473989600).

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

36361389520800 is a wasteful number, since it uses less digits than its factorization.

36361389520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452566 (or 1452547 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 36361389520800 in words is "thirty-six trillion, three hundred sixty-one billion, three hundred eighty-nine million, five hundred twenty thousand, eight hundred".