11583272640 has 112 divisors (see below), whose sum is σ = 36868059360. Its totient is φ = 3081216000.

The previous prime is 11583272633. The next prime is 11583272647. The reversal of 11583272640 is 4627238511.

It is an interprime number because it is at equal distance from previous prime (11583272633) and next prime (11583272647).

It is not an unprimeable number, because it can be changed into a prime (11583272647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377890 + ... + 407390.

Almost surely, 2^11583272640 is an apocalyptic number.

11583272640 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 11583272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18434029680).

11583272640 is an abundant number, since it is smaller than the sum of its proper divisors (25284786720).

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

11583272640 is a wasteful number, since it uses less digits than its factorization.

11583272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29930 (or 29920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 11583272640 in words is "eleven billion, five hundred eighty-three million, two hundred seventy-two thousand, six hundred forty".