11506983840 has 216 divisors, whose sum is σ = 43162541604. Its totient is φ = 2789529600.

The previous prime is 11506983827. The next prime is 11506983853. The reversal of 11506983840 is 4838960511.

11506983840 is a `hidden beast` number, since 11 + 506 + 98 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11506983827) and next prime (11506983853).

It can be written as a sum of positive squares in 2 ways, for example, as 11403676944 + 103306896 = 106788^2 + 10164^2 .

It is a super-2 number, since 2×11506983840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141220 + ... + 207260.

Almost surely, 2^11506983840 is an apocalyptic number.

11506983840 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 11506983840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581270802).

11506983840 is an abundant number, since it is smaller than the sum of its proper divisors (31655557764).

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

11506983840 is a wasteful number, since it uses less digits than its factorization.

11506983840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66084 (or 66062 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11506983840 in words is "eleven billion, five hundred six million, nine hundred eighty-three thousand, eight hundred forty".