11830429561170 has 128 divisors (see below), whose sum is σ = 32624142888960. Its totient is φ = 2715394337280.

The previous prime is 11830429561133. The next prime is 11830429561183. The reversal of 11830429561170 is 7116592403811.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9820039 + ... + 10958741.

It is an arithmetic number, because the mean of its divisors is an integer number (254876116320).

It is a 1-persistent number, because it is pandigital, but 2⋅11830429561170 = 23660859122340 is not.

Almost surely, 2^{11830429561170} is an apocalyptic number.

11830429561170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830429561170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312071444480).

11830429561170 is an abundant number, since it is smaller than the sum of its proper divisors (20793713327790).

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

11830429561170 is a wasteful number, since it uses less digits than its factorization.

11830429561170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140400.

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11830429561170 in words is "eleven trillion, eight hundred thirty billion, four hundred twenty-nine million, five hundred sixty-one thousand, one hundred seventy".