11579526040 has 64 divisors (see below), whose sum is σ = 26246721600. Its totient is φ = 4597651968.

The previous prime is 11579525989. The next prime is 11579526059. The reversal of 11579526040 is 4062597511.

11579526040 = T₃₉ + T₄₀ + ... + T₄₁₁₀.

It is a super-2 number, since 2×11579526040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11579525984 and 11579526002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009477 + ... + 4012363.

It is an arithmetic number, because the mean of its divisors is an integer number (410105025).

Almost surely, 2^11579526040 is an apocalyptic number.

11579526040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11579526040 is an abundant number, since it is smaller than the sum of its proper divisors (14667195560).

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

11579526040 is a wasteful number, since it uses less digits than its factorization.

11579526040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 11579526040 in words is "eleven billion, five hundred seventy-nine million, five hundred twenty-six thousand, forty".