11600256434100 has 144 divisors (see below), whose sum is σ = 34066067548800. Its totient is φ = 3047381568000.

The previous prime is 11600256434077. The next prime is 11600256434113. The reversal of 11600256434100 is 143465200611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5067774 + ... + 6991626.

Almost surely, 2^{11600256434100} is an apocalyptic number.

11600256434100 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 11600256434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033033774400).

11600256434100 is an abundant number, since it is smaller than the sum of its proper divisors (22465811114700).

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

11600256434100 is a wasteful number, since it uses less digits than its factorization.

11600256434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924170 (or 1924163 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 11600256434100 in words is "eleven trillion, six hundred billion, two hundred fifty-six million, four hundred thirty-four thousand, one hundred".