20361564197208 has 1536 divisors, whose sum is σ = 69267115008000. Its totient is φ = 5543180697600.

The previous prime is 20361564197207. The next prime is 20361564197291. The reversal of 20361564197208 is 80279146516302.

It is a happy number.

20361564197208 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 1 + 564 + 1 + 9 + 72 + 0 + 8 = 666.

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 (20361564197207) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 134844795933 + ... + 134844796083.

It is an arithmetic number, because the mean of its divisors is an integer number (45095778000).

It is a 1-persistent number, because it is pandigital, but 2⋅20361564197208 = 40723128394416 is not.

Almost surely, 2^{20361564197208} 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 20361564197208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34633557504000).

20361564197208 is an abundant number, since it is smaller than the sum of its proper divisors (48905550810792).

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

20361564197208 is a wasteful number, since it uses less digits than its factorization.

20361564197208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20361564197208 in words is "twenty trillion, three hundred sixty-one billion, five hundred sixty-four million, one hundred ninety-seven thousand, two hundred eight".