20268607104 has 128 divisors (see below), whose sum is σ = 61437700800. Its totient is φ = 6573560832.

The previous prime is 20268607057. The next prime is 20268607109. The reversal of 20268607104 is 40170686202.

20268607104 is a `hidden beast` number, since 20 + 26 + 8 + 607 + 1 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20268607109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48619 + ... + 207125.

Almost surely, 2^20268607104 is an apocalyptic number.

20268607104 is a gapful number since it is divisible by the number (24) 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 20268607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30718850400).

20268607104 is an abundant number, since it is smaller than the sum of its proper divisors (41169093696).

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

20268607104 is a wasteful number, since it uses less digits than its factorization.

20268607104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158567 (or 158549 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20268607104 in words is "twenty billion, two hundred sixty-eight million, six hundred seven thousand, one hundred four".