13411759920 has 160 divisors (see below), whose sum is σ = 46318910400. Its totient is φ = 3187494912.

The previous prime is 13411759913. The next prime is 13411759951. The reversal of 13411759920 is 2995711431.

It is a super-3 number, since 3×13411759920³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 16366 + ... + 164594.

It is an arithmetic number, because the mean of its divisors is an integer number (289493190).

Almost surely, 2^13411759920 is an apocalyptic number.

13411759920 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 13411759920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23159455200).

13411759920 is an abundant number, since it is smaller than the sum of its proper divisors (32907150480).

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

13411759920 is a wasteful number, since it uses less digits than its factorization.

13411759920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148287 (or 148281 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 13411759920 in words is "thirteen billion, four hundred eleven million, seven hundred fifty-nine thousand, nine hundred twenty".