11287437480 has 384 divisors, whose sum is σ = 41772931200. Its totient is φ = 2718489600.

The previous prime is 11287437439. The next prime is 11287437481. The reversal of 11287437480 is 8473478211.

11287437480 is a `hidden beast` number, since 1 + 128 + 7 + 43 + 7 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11287437481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24484450 + ... + 24484910.

It is an arithmetic number, because the mean of its divisors is an integer number (108783675).

Almost surely, 2^11287437480 is an apocalyptic number.

11287437480 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 11287437480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20886465600).

11287437480 is an abundant number, since it is smaller than the sum of its proper divisors (30485493720).

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

11287437480 is a wasteful number, since it uses less digits than its factorization.

11287437480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 11287437480 in words is "eleven billion, two hundred eighty-seven million, four hundred thirty-seven thousand, four hundred eighty".