11504440640 has 224 divisors, whose sum is σ = 34410700800. Its totient is φ = 3558942720.

The previous prime is 11504440627. The next prime is 11504440723. The reversal of 11504440640 is 4604440511.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3423281 + ... + 3426639.

It is an arithmetic number, because the mean of its divisors is an integer number (153619200).

Almost surely, 2^11504440640 is an apocalyptic number.

11504440640 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 11504440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205350400).

11504440640 is an abundant number, since it is smaller than the sum of its proper divisors (22906260160).

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

11504440640 is a wasteful number, since it uses less digits than its factorization.

11504440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The spelling of 11504440640 in words is "eleven billion, five hundred four million, four hundred forty thousand, six hundred forty".