11455000480 has 288 divisors, whose sum is σ = 35152729920. Its totient is φ = 3486228480.

The previous prime is 11455000463. The next prime is 11455000483. The reversal of 11455000480 is 8400055411.

11455000480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

11455000480 is a nontrivial binomial coefficient, being equal to C(151361, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11455000483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3706776 + ... + 3709864.

It is an arithmetic number, because the mean of its divisors is an integer number (122058090).

Almost surely, 2^11455000480 is an apocalyptic number.

11455000480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11455000480 is the 151360-th triangular number.

11455000480 is the 50454-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11455000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17576364960).

11455000480 is an abundant number, since it is smaller than the sum of its proper divisors (23697729440).

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

11455000480 is a wasteful number, since it uses less digits than its factorization.

11455000480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3172 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 11455000480 its reverse (8400055411), we get a palindrome (19855055891).

The spelling of 11455000480 in words is "eleven billion, four hundred fifty-five million, four hundred eighty", and thus it is an aban number.