11556126540 has 144 divisors (see below), whose sum is σ = 40092019968. Its totient is φ = 2639371392.

The previous prime is 11556126523. The next prime is 11556126563. The reversal of 11556126540 is 4562165511.

11556126540 is a `hidden beast` number, since 1 + 1 + 55 + 61 + 2 + 6 + 540 = 666.

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 = 11556126495 and 11556126504.

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, 2168319 + ... + 2173641.

Almost surely, 2^11556126540 is an apocalyptic number.

11556126540 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 11556126540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20046009984).

11556126540 is an abundant number, since it is smaller than the sum of its proper divisors (28535893428).

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

11556126540 is a wasteful number, since it uses less digits than its factorization.

11556126540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7068 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 11556126540 in words is "eleven billion, five hundred fifty-six million, one hundred twenty-six thousand, five hundred forty".