11662583040 has 288 divisors, whose sum is σ = 43566633600. Its totient is φ = 2946170880.

The previous prime is 11662583033. The next prime is 11662583047. The reversal of 11662583040 is 4038526611.

It is a happy number.

11662583040 is a `hidden beast` number, since 1 + 16 + 62 + 583 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11662583033) and next prime (11662583047).

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

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 = 11662582986 and 11662583004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11662583047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647760 + ... + 665520.

Almost surely, 2^11662583040 is an apocalyptic number.

11662583040 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 11662583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21783316800).

11662583040 is an abundant number, since it is smaller than the sum of its proper divisors (31904050560).

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

11662583040 is a wasteful number, since it uses less digits than its factorization.

11662583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17810 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11662583040 in words is "eleven billion, six hundred sixty-two million, five hundred eighty-three thousand, forty".