1080679640625 has 448 divisors, whose sum is σ = 2329395183360. Its totient is φ = 490406400000.

The previous prime is 1080679640603. The next prime is 1080679640627. The reversal of 1080679640625 is 5260469760801.

1080679640625 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 6 + 7 + 9 + 6 + 4 + 0 + 625 = 666.

It is not a de Polignac number, because 1080679640625 - 2¹² = 1080679636529 is a prime.

It is a super-2 number, since 2×1080679640625² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1080679640627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6246703039 + ... + 6246703211.

It is an arithmetic number, because the mean of its divisors is an integer number (5199542820).

Almost surely, 2^{1080679640625} is an apocalyptic number.

1080679640625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1080679640625 is an abundant number, since it is smaller than the sum of its proper divisors (1248715542735).

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

1080679640625 is an equidigital number, since it uses as much as digits as its factorization.

1080679640625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1080679640625 in words is "one trillion, eighty billion, six hundred seventy-nine million, six hundred forty thousand, six hundred twenty-five".