1079519795200 has 1152 divisors, whose sum is σ = 3520694661120. Its totient is φ = 321159168000.

The previous prime is 1079519795111. The next prime is 1079519795239. The reversal of 1079519795200 is 25979159701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14787942364 + ... + 14787942436.

It is an arithmetic number, because the mean of its divisors is an integer number (3056158560).

Almost surely, 2^{1079519795200} is an apocalyptic number.

1079519795200 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 1079519795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760347330560).

1079519795200 is an abundant number, since it is smaller than the sum of its proper divisors (2441174865920).

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

1079519795200 is an equidigital number, since it uses as much as digits as its factorization.

1079519795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1786050, while the sum is 55.

The spelling of 1079519795200 in words is "one trillion, seventy-nine billion, five hundred nineteen million, seven hundred ninety-five thousand, two hundred".