1078106734080 has 800 divisors, whose sum is σ = 4015952275104. Its totient is φ = 276191576064.

The previous prime is 1078106734079. The next prime is 1078106734139. The reversal of 1078106734080 is 804376018701.

1078106734080 is a `hidden beast` number, since 1 + 0 + 78 + 106 + 73 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 636801714 + ... + 636803406.

Almost surely, 2^{1078106734080} is an apocalyptic number.

1078106734080 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 1078106734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007976137552).

1078106734080 is an abundant number, since it is smaller than the sum of its proper divisors (2937845541024).

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

1078106734080 is an equidigital number, since it uses as much as digits as its factorization.

1078106734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1078106734080 in words is "one trillion, seventy-eight billion, one hundred six million, seven hundred thirty-four thousand, eighty".