11955580560 has 960 divisors, whose sum is σ = 53296588800. Its totient is φ = 2469035520.

The previous prime is 11955580529. The next prime is 11955580631. The reversal of 11955580560 is 6508555911.

11955580560 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 5 + 5 + 80 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 73347039 + ... + 73347201.

It is an arithmetic number, because the mean of its divisors is an integer number (55517280).

Almost surely, 2^11955580560 is an apocalyptic number.

11955580560 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 11955580560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26648294400).

11955580560 is an abundant number, since it is smaller than the sum of its proper divisors (41341008240).

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

11955580560 is a wasteful number, since it uses less digits than its factorization.

11955580560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 45.

The spelling of 11955580560 in words is "eleven billion, nine hundred fifty-five million, five hundred eighty thousand, five hundred sixty".