36220065599700 has 504 divisors, whose sum is σ = 129077002527480. Its totient is φ = 8777051136000.

The previous prime is 36220065599633. The next prime is 36220065599701. The reversal of 36220065599700 is 799556002263.

36220065599700 is a `hidden beast` number, since 3 + 62 + 20 + 0 + 6 + 559 + 9 + 7 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1698283325124 + 34521782274576 = 1303182^2 + 5875524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36220065599701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 35435800 + ... + 36443600.

It is an arithmetic number, because the mean of its divisors is an integer number (256105163745).

Almost surely, 2^{36220065599700} is an apocalyptic number.

36220065599700 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 36220065599700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64538501263740).

36220065599700 is an abundant number, since it is smaller than the sum of its proper divisors (92856936927780).

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

36220065599700 is a wasteful number, since it uses less digits than its factorization.

36220065599700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007879 (or 1007857 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 36220065599700 in words is "thirty-six trillion, two hundred twenty billion, sixty-five million, five hundred ninety-nine thousand, seven hundred".