1078585566120 has 64 divisors (see below), whose sum is σ = 3595285224000. Its totient is φ = 287622817344.

The previous prime is 1078585566101. The next prime is 1078585566151. The reversal of 1078585566120 is 216655858701.

1078585566120 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 5 + 8 + 556 + 61 + 20 = 666.

1078585566120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499344090 + ... + 499346249.

It is an arithmetic number, because the mean of its divisors is an integer number (56176331625).

Almost surely, 2^{1078585566120} is an apocalyptic number.

1078585566120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1078585566120 is an abundant number, since it is smaller than the sum of its proper divisors (2516699657880).

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

1078585566120 is a wasteful number, since it uses less digits than its factorization.

1078585566120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998690359 (or 998690349 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 54.

The spelling of 1078585566120 in words is "one trillion, seventy-eight billion, five hundred eighty-five million, five hundred sixty-six thousand, one hundred twenty".