10268613180 has 288 divisors, whose sum is σ = 36687530880. Its totient is φ = 2275983360.

The previous prime is 10268613167. The next prime is 10268613193. The reversal of 10268613180 is 8131686201.

10268613180 is a `hidden beast` number, since 1 + 0 + 26 + 8 + 613 + 18 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10268613167) and next prime (10268613193).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10176516 + ... + 10177524.

It is an arithmetic number, because the mean of its divisors is an integer number (127387260).

Almost surely, 2^10268613180 is an apocalyptic number.

10268613180 is a gapful number since it is divisible by the number (10) 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 10268613180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343765440).

10268613180 is an abundant number, since it is smaller than the sum of its proper divisors (26418917700).

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

10268613180 is a wasteful number, since it uses less digits than its factorization.

10268613180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10268613180 in words is "ten billion, two hundred sixty-eight million, six hundred thirteen thousand, one hundred eighty".