11355463680 has 448 divisors, whose sum is σ = 41068118016. Its totient is φ = 2654208000.

The previous prime is 11355463673. The next prime is 11355463687. The reversal of 11355463680 is 8636455311.

It is an interprime number because it is at equal distance from previous prime (11355463673) and next prime (11355463687).

It is not an unprimeable number, because it can be changed into a prime (11355463687) 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 31 ways as a sum of consecutive naturals, for example, 41901945 + ... + 41902215.

Almost surely, 2^11355463680 is an apocalyptic number.

11355463680 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 11355463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534059008).

11355463680 is an abundant number, since it is smaller than the sum of its proper divisors (29712654336).

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

11355463680 is a wasteful number, since it uses less digits than its factorization.

11355463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 11355463680 in words is "eleven billion, three hundred fifty-five million, four hundred sixty-three thousand, six hundred eighty".