11511525740 has 192 divisors, whose sum is σ = 29539012608. Its totient is φ = 3711052800.

The previous prime is 11511525733. The next prime is 11511525769. The reversal of 11511525740 is 4752511511.

It is a junction number, because it is equal to n+sod(n) for n = 11511525697 and 11511525706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13919207 + ... + 13920033.

It is an arithmetic number, because the mean of its divisors is an integer number (153849024).

Almost surely, 2^11511525740 is an apocalyptic number.

11511525740 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 11511525740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14769506304).

11511525740 is an abundant number, since it is smaller than the sum of its proper divisors (18027486868).

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

11511525740 is a wasteful number, since it uses less digits than its factorization.

11511525740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 32.

The spelling of 11511525740 in words is "eleven billion, five hundred eleven million, five hundred twenty-five thousand, seven hundred forty".