20397686100 has 144 divisors (see below), whose sum is σ = 64756480320. Its totient is φ = 4916172800.

The previous prime is 20397686093. The next prime is 20397686107. The reversal of 20397686100 is 168679302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20397686093) and next prime (20397686107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20397686107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 553036 + ... + 588764.

It is an arithmetic number, because the mean of its divisors is an integer number (449697780).

Almost surely, 2^20397686100 is an apocalyptic number.

20397686100 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 20397686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32378240160).

20397686100 is an abundant number, since it is smaller than the sum of its proper divisors (44358794220).

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

20397686100 is a wasteful number, since it uses less digits than its factorization.

20397686100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35930 (or 35923 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 20397686100 in words is "twenty billion, three hundred ninety-seven million, six hundred eighty-six thousand, one hundred".