11632961280 has 576 divisors, whose sum is σ = 42278423040. Its totient is φ = 2708471808.

The previous prime is 11632961267. The next prime is 11632961281. The reversal of 11632961280 is 8216923611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632961281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102946504 + ... + 102946616.

It is an arithmetic number, because the mean of its divisors is an integer number (73400040).

Almost surely, 2^11632961280 is an apocalyptic number.

11632961280 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 11632961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21139211520).

11632961280 is an abundant number, since it is smaller than the sum of its proper divisors (30645461760).

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

11632961280 is a wasteful number, since it uses less digits than its factorization.

11632961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 11632961280 in words is "eleven billion, six hundred thirty-two million, nine hundred sixty-one thousand, two hundred eighty".