11458438080 has 224 divisors, whose sum is σ = 38448691200. Its totient is φ = 2885296128.

The previous prime is 11458438009. The next prime is 11458438097. The reversal of 11458438080 is 8083485411.

It is a super-3 number, since 3×11458438080³ (a number of 31 digits) contains 333 as substring.

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, 1741036 + ... + 1747604.

Almost surely, 2^11458438080 is an apocalyptic number.

11458438080 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 11458438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224345600).

11458438080 is an abundant number, since it is smaller than the sum of its proper divisors (26990253120).

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

11458438080 is a wasteful number, since it uses less digits than its factorization.

11458438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6681 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 11458438080 in words is "eleven billion, four hundred fifty-eight million, four hundred thirty-eight thousand, eighty".