11052771840 has 320 divisors, whose sum is σ = 42832437120. Its totient is φ = 2679275520.

The previous prime is 11052771817. The next prime is 11052771857. The reversal of 11052771840 is 4817725011.

11052771840 is a `hidden beast` number, since 110 + 527 + 7 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11052771795 and 11052771804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753052 + ... + 767588.

It is an arithmetic number, because the mean of its divisors is an integer number (133851366).

Almost surely, 2^11052771840 is an apocalyptic number.

11052771840 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 11052771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21416218560).

11052771840 is an abundant number, since it is smaller than the sum of its proper divisors (31779665280).

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

11052771840 is a wasteful number, since it uses less digits than its factorization.

11052771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14580 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11052771840 in words is "eleven billion, fifty-two million, seven hundred seventy-one thousand, eight hundred forty".