11456526240 has 144 divisors (see below), whose sum is σ = 39123852768. Its totient is φ = 3052850688.

The previous prime is 11456526239. The next prime is 11456526259. The reversal of 11456526240 is 4262565411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×11456526240³ (a number of 31 digits) contains 333 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 = 11456526195 and 11456526204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3228147 + ... + 3231693.

It is an arithmetic number, because the mean of its divisors is an integer number (271693422).

Almost surely, 2^11456526240 is an apocalyptic number.

11456526240 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 11456526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561926384).

11456526240 is an abundant number, since it is smaller than the sum of its proper divisors (27667326528).

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

11456526240 is a wasteful number, since it uses less digits than its factorization.

11456526240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5811 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11456526240 in words is "eleven billion, four hundred fifty-six million, five hundred twenty-six thousand, two hundred forty".