1080175703040 has 704 divisors, whose sum is σ = 4505862950400. Its totient is φ = 240216440832.

The previous prime is 1080175702981. The next prime is 1080175703099. The reversal of 1080175703040 is 403075710801.

1080175703040 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 17 + 570 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1080175702981) and next prime (1080175703099).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1080175702986 and 1080175703004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35789076 + ... + 35819244.

Almost surely, 2^{1080175703040} is an apocalyptic number.

1080175703040 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 1080175703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252931475200).

1080175703040 is an abundant number, since it is smaller than the sum of its proper divisors (3425687247360).

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

1080175703040 is a wasteful number, since it uses less digits than its factorization.

1080175703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30247 (or 30223 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 1080175703040 in words is "one trillion, eighty billion, one hundred seventy-five million, seven hundred three thousand, forty".