1075518079120 has 80 divisors (see below), whose sum is σ = 2691077121648. Its totient is φ = 398263173120.

The previous prime is 1075518079117. The next prime is 1075518079121. The reversal of 1075518079120 is 219708155701.

1075518079120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9965629584 + 1065552449536 = 99828^2 + 1032256^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1075518079121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6399189 + ... + 6565108.

Almost surely, 2^{1075518079120} is an apocalyptic number.

1075518079120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1075518079120 is an abundant number, since it is smaller than the sum of its proper divisors (1615559042528).

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

1075518079120 is a wasteful number, since it uses less digits than its factorization.

1075518079120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12964388 (or 12964382 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 46.

The spelling of 1075518079120 in words is "one trillion, seventy-five billion, five hundred eighteen million, seventy-nine thousand, one hundred twenty".