13179371950080 has 728 divisors, whose sum is σ = 54192721747392. Its totient is φ = 3012403986432.

The previous prime is 13179371950037. The next prime is 13179371950123. The reversal of 13179371950080 is 8005917397131.

13179371950080 is a `hidden beast` number, since 1 + 3 + 17 + 9 + 37 + 19 + 500 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13179371950037) and next prime (13179371950123).

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

It is a junction number, because it is equal to n+sod(n) for n = 13179371949999 and 13179371950026.

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 55 ways as a sum of consecutive naturals, for example, 104446387 + ... + 104572493.

Almost surely, 2^{13179371950080} is an apocalyptic number.

13179371950080 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 13179371950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27096360873696).

13179371950080 is an abundant number, since it is smaller than the sum of its proper divisors (41013349797312).

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

13179371950080 is an frugal number, since it uses more digits than its factorization.

13179371950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126161 (or 126124 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 13179371950080 in words is "thirteen trillion, one hundred seventy-nine billion, three hundred seventy-one million, nine hundred fifty thousand, eighty".