11630588648240 has 40 divisors (see below), whose sum is σ = 27042262028208. Its totient is φ = 4652038741760.

The previous prime is 11630588648233. The next prime is 11630588648251. The reversal of 11630588648240 is 4284688503611.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1162562 + ... + 4961121.

Almost surely, 2^{11630588648240} is an apocalyptic number.

11630588648240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11630588648240 is an abundant number, since it is smaller than the sum of its proper divisors (15411673379968).

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

11630588648240 is a wasteful number, since it uses less digits than its factorization.

11630588648240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147437 (or 6147431 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 11630588648240 in words is "eleven trillion, six hundred thirty billion, five hundred eighty-eight million, six hundred forty-eight thousand, two hundred forty".