13079627280000 has 1600 divisors, whose sum is σ = 52909994788200. Its totient is φ = 3193012224000.

The previous prime is 13079627279977. The next prime is 13079627280001. The reversal of 13079627280000 is 8272697031.

13079627280000 is a `hidden beast` number, since 1 + 307 + 9 + 62 + 7 + 280 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 926259955776 + 12153367324224 = 962424^2 + 3486168^2 .

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13079627280001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 4075918396 + ... + 4075921604.

Almost surely, 2^{13079627280000} is an apocalyptic number.

13079627280000 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 13079627280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26454997394100).

13079627280000 is an abundant number, since it is smaller than the sum of its proper divisors (39830367508200).

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

13079627280000 is an equidigital number, since it uses as much as digits as its factorization.

13079627280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 13079627280000 in words is "thirteen trillion, seventy-nine billion, six hundred twenty-seven million, two hundred eighty thousand".