20155268733600 has 2304 divisors, whose sum is σ = 91004479340544. Its totient is φ = 3739115520000.

The previous prime is 20155268733569. The next prime is 20155268733629. The reversal of 20155268733600 is 633786255102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20155268733600.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 17511093025 + ... + 17511094175.

It is an arithmetic number, because the mean of its divisors is an integer number (39498471936).

Almost surely, 2^{20155268733600} is an apocalyptic number.

20155268733600 is a gapful number since it is divisible by the number (20) 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 20155268733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502239670272).

20155268733600 is an abundant number, since it is smaller than the sum of its proper divisors (70849210606944).

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

20155268733600 is a wasteful number, since it uses less digits than its factorization.

20155268733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 20155268733600 in words is "twenty trillion, one hundred fifty-five billion, two hundred sixty-eight million, seven hundred thirty-three thousand, six hundred".