11011875840 has 396 divisors, whose sum is σ = 44394492636. Its totient is φ = 2516484096.

The previous prime is 11011875829. The next prime is 11011875841. The reversal of 11011875840 is 4857811011.

It can be written as a sum of positive squares in 2 ways, for example, as 3497066496 + 7514809344 = 59136^2 + 86688^2 .

It is a super-2 number, since 2×11011875840² (a number of 21 digits) contains 22 as substring.

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 = 11011875795 and 11011875804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011875841) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2255482 + ... + 2260358.

Almost surely, 2^11011875840 is an apocalyptic number.

11011875840 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 11011875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197246318).

11011875840 is an abundant number, since it is smaller than the sum of its proper divisors (33382616796).

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

11011875840 is a wasteful number, since it uses less digits than its factorization.

11011875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4922 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 36.

The spelling of 11011875840 in words is "eleven billion, eleven million, eight hundred seventy-five thousand, eight hundred forty".