1278970104960 has 384 divisors, whose sum is σ = 4582900408320. Its totient is φ = 328320000000.

The previous prime is 1278970104949. The next prime is 1278970104989. The reversal of 1278970104960 is 694010798721.

1278970104960 is a `hidden beast` number, since 1 + 2 + 7 + 89 + 70 + 1 + 0 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1278970104897 and 1278970104906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34086210 + ... + 34123710.

It is an arithmetic number, because the mean of its divisors is an integer number (11934636480).

Almost surely, 2^{1278970104960} is an apocalyptic number.

1278970104960 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 1278970104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291450204160).

1278970104960 is an abundant number, since it is smaller than the sum of its proper divisors (3303930303360).

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

1278970104960 is a wasteful number, since it uses less digits than its factorization.

1278970104960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37748 (or 37733 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1278970104960 in words is "one trillion, two hundred seventy-eight billion, nine hundred seventy million, one hundred four thousand, nine hundred sixty".