11126460540 has 96 divisors (see below), whose sum is σ = 33633552960. Its totient is φ = 2732046336.

The previous prime is 11126460539. The next prime is 11126460547. The reversal of 11126460540 is 4506462111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11126460498 and 11126460507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11126460547) 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, 301582 + ... + 336458.

It is an arithmetic number, because the mean of its divisors is an integer number (350349510).

Almost surely, 2^11126460540 is an apocalyptic number.

11126460540 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 11126460540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816776480).

11126460540 is an abundant number, since it is smaller than the sum of its proper divisors (22507092420).

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

11126460540 is a wasteful number, since it uses less digits than its factorization.

11126460540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35311 (or 35309 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11126460540 in words is "eleven billion, one hundred twenty-six million, four hundred sixty thousand, five hundred forty".