11473616880 has 720 divisors, whose sum is σ = 45939059712. Its totient is φ = 2554675200.

The previous prime is 11473616873. The next prime is 11473616881. The reversal of 11473616880 is 8861637411.

11473616880 is a `hidden beast` number, since 11 + 473 + 6 + 168 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11473616881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90343377 + ... + 90343503.

Almost surely, 2^11473616880 is an apocalyptic number.

11473616880 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 11473616880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22969529856).

11473616880 is an abundant number, since it is smaller than the sum of its proper divisors (34465442832).

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

11473616880 is a wasteful number, since it uses less digits than its factorization.

11473616880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11473616880 in words is "eleven billion, four hundred seventy-three million, six hundred sixteen thousand, eight hundred eighty".