20556213753348 has 1152 divisors, whose sum is σ = 70598917509120. Its totient is φ = 5084018472960.

The previous prime is 20556213753307. The next prime is 20556213753373. The reversal of 20556213753348 is 84335731265502.

20556213753348 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 62 + 1 + 3 + 7 + 533 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20556213753294 and 20556213753303.

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 383 ways as a sum of consecutive naturals, for example, 25038018778 + ... + 25038019598.

It is an arithmetic number, because the mean of its divisors is an integer number (61283782560).

Almost surely, 2^{20556213753348} is an apocalyptic number.

20556213753348 is a gapful number since it is divisible by the number (28) 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 20556213753348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35299458754560).

20556213753348 is an abundant number, since it is smaller than the sum of its proper divisors (50042703755772).

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

20556213753348 is a wasteful number, since it uses less digits than its factorization.

20556213753348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 20556213753348 in words is "twenty trillion, five hundred fifty-six billion, two hundred thirteen million, seven hundred fifty-three thousand, three hundred forty-eight".