11119126536960 has 1152 divisors, whose sum is σ = 41473130340096. Its totient is φ = 2514191646720.

The previous prime is 11119126536941. The next prime is 11119126536997. The reversal of 11119126536960 is 6963562191111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10479854830 + ... + 10479855890.

It is an arithmetic number, because the mean of its divisors is an integer number (36000981198).

Almost surely, 2^{11119126536960} is an apocalyptic number.

11119126536960 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 11119126536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736565170048).

11119126536960 is an abundant number, since it is smaller than the sum of its proper divisors (30354003803136).

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

11119126536960 is a wasteful number, since it uses less digits than its factorization.

11119126536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 51.

The spelling of 11119126536960 in words is "eleven trillion, one hundred nineteen billion, one hundred twenty-six million, five hundred thirty-six thousand, nine hundred sixty".