11573129100 has 288 divisors, whose sum is σ = 38440664640. Its totient is φ = 2663055360.

The previous prime is 11573129063. The next prime is 11573129111. The reversal of 11573129100 is 192137511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11469396 + ... + 11470404.

It is an arithmetic number, because the mean of its divisors is an integer number (133474530).

Almost surely, 2^11573129100 is an apocalyptic number.

11573129100 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 11573129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220332320).

11573129100 is an abundant number, since it is smaller than the sum of its proper divisors (26867535540).

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

11573129100 is a wasteful number, since it uses less digits than its factorization.

11573129100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 11573129100 in words is "eleven billion, five hundred seventy-three million, one hundred twenty-nine thousand, one hundred".