11011871869920 has 288 divisors, whose sum is σ = 39560333904000. Its totient is φ = 2781627927552.

The previous prime is 11011871869909. The next prime is 11011871869951. The reversal of 11011871869920 is 2996817811011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11011871869920² (a number of 27 digits) contains 22 as substring.

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, 320067439 + ... + 320101841.

It is an arithmetic number, because the mean of its divisors is an integer number (137362270500).

Almost surely, 2^{11011871869920} is an apocalyptic number.

11011871869920 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 11011871869920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19780166952000).

11011871869920 is an abundant number, since it is smaller than the sum of its proper divisors (28548462034080).

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

11011871869920 is a wasteful number, since it uses less digits than its factorization.

11011871869920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46142 (or 46131 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 54.

The spelling of 11011871869920 in words is "eleven trillion, eleven billion, eight hundred seventy-one million, eight hundred sixty-nine thousand, nine hundred twenty".