1153575011100 has 72 divisors (see below), whose sum is σ = 3337797461040. Its totient is φ = 307608903680.

The previous prime is 1153575011059. The next prime is 1153575011117. The reversal of 1153575011100 is 11105753511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11431666 + ... + 11532134.

It is an arithmetic number, because the mean of its divisors is an integer number (46358298070).

Almost surely, 2^{1153575011100} is an apocalyptic number.

1153575011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153575011100 is an abundant number, since it is smaller than the sum of its proper divisors (2184222449940).

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

1153575011100 is a wasteful number, since it uses less digits than its factorization.

1153575011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138759 (or 138752 counting only the distinct ones).

The product of its (nonzero) digits is 2625, while the sum is 30.

The spelling of 1153575011100 in words is "one trillion, one hundred fifty-three billion, five hundred seventy-five million, eleven thousand, one hundred".