1079878625280 has 2304 divisors, whose sum is σ = 5048415590400. Its totient is φ = 214990848000.

The previous prime is 1079878625269. The next prime is 1079878625339. The reversal of 1079878625280 is 825268789701.

1079878625280 is a `hidden beast` number, since 10 + 7 + 98 + 7 + 8 + 6 + 2 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1079878625280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4302305155 + ... + 4302305405.

It is an arithmetic number, because the mean of its divisors is an integer number (2191152600).

Almost surely, 2^{1079878625280} is an apocalyptic number.

1079878625280 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 1079878625280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524207795200).

1079878625280 is an abundant number, since it is smaller than the sum of its proper divisors (3968536965120).

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

1079878625280 is a wasteful number, since it uses less digits than its factorization.

1079878625280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 1079878625280 in words is "one trillion, seventy-nine billion, eight hundred seventy-eight million, six hundred twenty-five thousand, two hundred eighty".