1279561698960 has 320 divisors, whose sum is σ = 4054883328000. Its totient is φ = 333716060160.

The previous prime is 1279561698911. The next prime is 1279561698971. The reversal of 1279561698960 is 698961659721.

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 63 ways as a sum of consecutive naturals, for example, 1543499826 + ... + 1543500654.

It is an arithmetic number, because the mean of its divisors is an integer number (12671510400).

Almost surely, 2^{1279561698960} is an apocalyptic number.

1279561698960 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 1279561698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027441664000).

1279561698960 is an abundant number, since it is smaller than the sum of its proper divisors (2775321629040).

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

1279561698960 is a wasteful number, since it uses less digits than its factorization.

1279561698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 69.

It can be divided in two parts, 127956 and 1698960, that added together give a triangular number (1826916 = T₁₉₁₁).

The spelling of 1279561698960 in words is "one trillion, two hundred seventy-nine billion, five hundred sixty-one million, six hundred ninety-eight thousand, nine hundred sixty".