1075535681080 has 128 divisors (see below), whose sum is σ = 2779602739200. Its totient is φ = 366898355712.

The previous prime is 1075535681041. The next prime is 1075535681081. The reversal of 1075535681080 is 801865355701.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1075535681081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151288566 + ... + 151295674.

It is an arithmetic number, because the mean of its divisors is an integer number (21715646400).

Almost surely, 2^{1075535681080} is an apocalyptic number.

1075535681080 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 1075535681080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389801369600).

1075535681080 is an abundant number, since it is smaller than the sum of its proper divisors (1704067058120).

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

1075535681080 is a wasteful number, since it uses less digits than its factorization.

1075535681080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9773 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 49.

The spelling of 1075535681080 in words is "one trillion, seventy-five billion, five hundred thirty-five million, six hundred eighty-one thousand, eighty".