11405908752 has 120 divisors (see below), whose sum is σ = 34307393472. Its totient is φ = 3255840000.

The previous prime is 11405908741. The next prime is 11405908781. The reversal of 11405908752 is 25780950411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4469877 + ... + 4472427.

Almost surely, 2^11405908752 is an apocalyptic number.

11405908752 is a gapful number since it is divisible by the number (12) 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 11405908752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17153696736).

11405908752 is an abundant number, since it is smaller than the sum of its proper divisors (22901484720).

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

11405908752 is a wasteful number, since it uses less digits than its factorization.

11405908752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 11405908752 in words is "eleven billion, four hundred five million, nine hundred eight thousand, seven hundred fifty-two".