1078567902720 has 2880 divisors, whose sum is σ = 5134801351680. Its totient is φ = 211965050880.

The previous prime is 1078567902719. The next prime is 1078567902803. The reversal of 1078567902720 is 272097658701.

It is a happy number.

1078567902720 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 567 + 9 + 0 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 12118740436 + ... + 12118740524.

It is an arithmetic number, because the mean of its divisors is an integer number (1782917136).

Almost surely, 2^{1078567902720} is an apocalyptic number.

1078567902720 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 1078567902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567400675840).

1078567902720 is an abundant number, since it is smaller than the sum of its proper divisors (4056233448960).

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

1078567902720 is an equidigital number, since it uses as much as digits as its factorization.

1078567902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 1078567902720 in words is "one trillion, seventy-eight billion, five hundred sixty-seven million, nine hundred two thousand, seven hundred twenty".