11125910480256 has 3072 divisors, whose sum is σ = 44279455334400. Its totient is φ = 2709999452160.

The previous prime is 11125910480221. The next prime is 11125910480323. The reversal of 11125910480256 is 65208401952111.

11125910480256 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 591 + 0 + 4 + 8 + 0 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108018548301 + ... + 108018548403.

It is an arithmetic number, because the mean of its divisors is an integer number (14413885200).

Almost surely, 2^{11125910480256} is an apocalyptic number.

11125910480256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 3335552×3335553.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125910480256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22139727667200).

11125910480256 is an abundant number, since it is smaller than the sum of its proper divisors (33153544854144).

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

11125910480256 is a wasteful number, since it uses less digits than its factorization.

11125910480256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 11125910480256 in words is "eleven trillion, one hundred twenty-five billion, nine hundred ten million, four hundred eighty thousand, two hundred fifty-six".