11505454080 has 352 divisors, whose sum is σ = 38623254528. Its totient is φ = 2919628800.

The previous prime is 11505454069. The next prime is 11505454091. The reversal of 11505454080 is 8045450511.

It is an interprime number because it is at equal distance from previous prime (11505454069) and next prime (11505454091).

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, 34759515 + ... + 34759845.

Almost surely, 2^11505454080 is an apocalyptic number.

11505454080 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 11505454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19311627264).

11505454080 is an abundant number, since it is smaller than the sum of its proper divisors (27117800448).

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

11505454080 is a wasteful number, since it uses less digits than its factorization.

11505454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 33.

The spelling of 11505454080 in words is "eleven billion, five hundred five million, four hundred fifty-four thousand, eighty".