1078795536000 has 1536 divisors, whose sum is σ = 4565745999360. Its totient is φ = 219414528000.

The previous prime is 1078795535977. The next prime is 1078795536011. The reversal of 1078795536000 is 6355978701.

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 191 ways as a sum of consecutive naturals, for example, 4197647872 + ... + 4197648128.

It is an arithmetic number, because the mean of its divisors is an integer number (2972490885).

Almost surely, 2^{1078795536000} is an apocalyptic number.

1078795536000 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 1078795536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282872999680).

1078795536000 is an abundant number, since it is smaller than the sum of its proper divisors (3486950463360).

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

1078795536000 is a wasteful number, since it uses less digits than its factorization.

1078795536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 1078795536000 in words is "one trillion, seventy-eight billion, seven hundred ninety-five million, five hundred thirty-six thousand".