36205056000 has 728 divisors, whose sum is σ = 136869840744. Its totient is φ = 9555148800.

The previous prime is 36205055969. The next prime is 36205056011. The reversal of 36205056000 is 65050263.

36205056000 is a `hidden beast` number, since 3 + 6 + 2 + 0 + 50 + 5 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2018525184 + 34186530816 = 44928^2 + 184896^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 373247952 + ... + 373248048.

It is an arithmetic number, because the mean of its divisors is an integer number (188008023).

Almost surely, 2^36205056000 is an apocalyptic number.

36205056000 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 36205056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68434920372).

36205056000 is an abundant number, since it is smaller than the sum of its proper divisors (100664784744).

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

36205056000 is an frugal number, since it uses more digits than its factorization.

36205056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 36205056000 in words is "thirty-six billion, two hundred five million, fifty-six thousand".