11610271920 has 160 divisors (see below), whose sum is σ = 38837014272. Its totient is φ = 2852269056.

The previous prime is 11610271901. The next prime is 11610271927. The reversal of 11610271920 is 2917201611.

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

It is not an unprimeable number, because it can be changed into a prime (11610271927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703239 + ... + 1710041.

Almost surely, 2^11610271920 is an apocalyptic number.

11610271920 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 11610271920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19418507136).

11610271920 is an abundant number, since it is smaller than the sum of its proper divisors (27226742352).

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

11610271920 is a wasteful number, since it uses less digits than its factorization.

11610271920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7379 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 11610271920 in words is "eleven billion, six hundred ten million, two hundred seventy-one thousand, nine hundred twenty".