1078142806820 has 96 divisors (see below), whose sum is σ = 2398156250112. Its totient is φ = 406483200000.

The previous prime is 1078142806801. The next prime is 1078142806859. The reversal of 1078142806820 is 286082418701.

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 31 ways as a sum of consecutive naturals, for example, 15242135 + ... + 15312705.

It is an arithmetic number, because the mean of its divisors is an integer number (24980794272).

Almost surely, 2^{1078142806820} is an apocalyptic number.

1078142806820 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 1078142806820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199078125056).

1078142806820 is an abundant number, since it is smaller than the sum of its proper divisors (1320013443292).

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

1078142806820 is a wasteful number, since it uses less digits than its factorization.

1078142806820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71253 (or 71251 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 47.

The spelling of 1078142806820 in words is "one trillion, seventy-eight billion, one hundred forty-two million, eight hundred six thousand, eight hundred twenty".