20101286268 has 360 divisors, whose sum is σ = 65698063200. Its totient is φ = 5324175360.

The previous prime is 20101286267. The next prime is 20101286269. The reversal of 20101286268 is 86268210102.

20101286268 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 28 + 626 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20101286267) and next prime (20101286269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101286267) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19161808 + ... + 19162856.

It is an arithmetic number, because the mean of its divisors is an integer number (182494620).

Almost surely, 2^20101286268 is an apocalyptic number.

20101286268 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 20101286268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32849031600).

20101286268 is an abundant number, since it is smaller than the sum of its proper divisors (45596776932).

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

20101286268 is a wasteful number, since it uses less digits than its factorization.

20101286268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 20101286268 in words is "twenty billion, one hundred one million, two hundred eighty-six thousand, two hundred sixty-eight".