11447362560 has 352 divisors, whose sum is σ = 39145190400. Its totient is φ = 2848849920.

The previous prime is 11447362547. The next prime is 11447362571. The reversal of 11447362560 is 6526374411.

It is a happy number.

It is an unprimeable number.

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, 13808226 + ... + 13809054.

Almost surely, 2^11447362560 is an apocalyptic number.

11447362560 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 11447362560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572595200).

11447362560 is an abundant number, since it is smaller than the sum of its proper divisors (27697827840).

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

11447362560 is a wasteful number, since it uses less digits than its factorization.

11447362560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 11447362560 in words is "eleven billion, four hundred forty-seven million, three hundred sixty-two thousand, five hundred sixty".