11508900480 has 864 divisors, whose sum is σ = 50965698420. Its totient is φ = 2384363520.

The previous prime is 11508900479. The next prime is 11508900509. The reversal of 11508900480 is 8400980511.

It can be written as a sum of positive squares in 2 ways, for example, as 11095672896 + 413227584 = 105336^2 + 20328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34150872 + ... + 34151208.

Almost surely, 2^11508900480 is an apocalyptic number.

11508900480 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 11508900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25482849210).

11508900480 is an abundant number, since it is smaller than the sum of its proper divisors (39456797940).

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

11508900480 is a wasteful number, since it uses less digits than its factorization.

11508900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11508900480 in words is "eleven billion, five hundred eight million, nine hundred thousand, four hundred eighty".