11011893771648 has 384 divisors, whose sum is σ = 37479626346240. Its totient is φ = 2832457420800.

The previous prime is 11011893771631. The next prime is 11011893771653. The reversal of 11011893771648 is 84617739811011.

It is a tau number, because it is divible by the number of its divisors (384).

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, 21060258 + ... + 21576798.

It is an arithmetic number, because the mean of its divisors is an integer number (97603193610).

Almost surely, 2^{11011893771648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011893771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739813173120).

11011893771648 is an abundant number, since it is smaller than the sum of its proper divisors (26467732574592).

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

11011893771648 is a wasteful number, since it uses less digits than its factorization.

11011893771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516686 (or 516667 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 57.

The spelling of 11011893771648 in words is "eleven trillion, eleven billion, eight hundred ninety-three million, seven hundred seventy-one thousand, six hundred forty-eight".