11639909630976 has 528 divisors, whose sum is σ = 36544064421312. Its totient is φ = 3279615426560.

The previous prime is 11639909630971. The next prime is 11639909631001. The reversal of 11639909630976 is 67903690993611.

It is a tau number, because it is divible by the number of its divisors (528).

It is a self number, because there is not a number n which added to its sum of digits gives 11639909630976.

It is not an unprimeable number, because it can be changed into a prime (11639909630971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524474536 + ... + 524496728.

Almost surely, 2^{11639909630976} is an apocalyptic number.

11639909630976 is a gapful number since it is divisible by the number (16) 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 11639909630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18272032210656).

11639909630976 is an abundant number, since it is smaller than the sum of its proper divisors (24904154790336).

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

11639909630976 is a wasteful number, since it uses less digits than its factorization.

11639909630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22338 (or 22309 counting only the distinct ones).

The product of its (nonzero) digits is 89282088, while the sum is 69.

The spelling of 11639909630976 in words is "eleven trillion, six hundred thirty-nine billion, nine hundred nine million, six hundred thirty thousand, nine hundred seventy-six".