20347108905600 has 1152 divisors, whose sum is σ = 76231714965120. Its totient is φ = 5162766336000.

The previous prime is 20347108905589. The next prime is 20347108905709. The reversal of 20347108905600 is 650980174302.

20347108905600 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 7 + 1 + 0 + 89 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×20347108905600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 9910914174 + ... + 9910916226.

It is an arithmetic number, because the mean of its divisors is an integer number (66173363685).

It is a 1-persistent number, because it is pandigital, but 2⋅20347108905600 = 40694217811200 is not.

Almost surely, 2^{20347108905600} is an apocalyptic number.

20347108905600 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 20347108905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38115857482560).

20347108905600 is an abundant number, since it is smaller than the sum of its proper divisors (55884606059520).

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

20347108905600 is a wasteful number, since it uses less digits than its factorization.

20347108905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 20347108905600 in words is "twenty trillion, three hundred forty-seven billion, one hundred eight million, nine hundred five thousand, six hundred".