11630537280 has 280 divisors, whose sum is σ = 42256545408. Its totient is φ = 3035169792.

The previous prime is 11630537263. The next prime is 11630537297. The reversal of 11630537280 is 8273503611.

11630537280 is a `hidden beast` number, since 1 + 16 + 30 + 537 + 2 + 80 = 666.

11630537280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11630537263) and next prime (11630537297).

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1213467 + ... + 1223013.

Almost surely, 2^11630537280 is an apocalyptic number.

11630537280 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 11630537280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21128272704).

11630537280 is an abundant number, since it is smaller than the sum of its proper divisors (30626008128).

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

11630537280 is an equidigital number, since it uses as much as digits as its factorization.

11630537280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9604 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11630537280 in words is "eleven billion, six hundred thirty million, five hundred thirty-seven thousand, two hundred eighty".