10013279367168 has 1040 divisors, whose sum is σ = 37470275479296. Its totient is φ = 2599239352320.

The previous prime is 10013279367149. The next prime is 10013279367187. The reversal of 10013279367168 is 86176397231001.

10013279367168 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 279 + 367 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10013279367149) and next prime (10013279367187).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6207859930 + ... + 6207861542.

Almost surely, 2^{10013279367168} is an apocalyptic number.

10013279367168 is a gapful number since it is divisible by the number (18) 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 10013279367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18735137739648).

10013279367168 is an abundant number, since it is smaller than the sum of its proper divisors (27456996112128).

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

10013279367168 is an frugal number, since it uses more digits than its factorization.

10013279367168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10013279367168 in words is "ten trillion, thirteen billion, two hundred seventy-nine million, three hundred sixty-seven thousand, one hundred sixty-eight".