11417602560 has 960 divisors, whose sum is σ = 49150354176. Its totient is φ = 2194145280.

The previous prime is 11417602519. The next prime is 11417602579. The reversal of 11417602560 is 6520671411.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 368309745 + ... + 368309775.

Almost surely, 2^11417602560 is an apocalyptic number.

11417602560 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 11417602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24575177088).

11417602560 is an abundant number, since it is smaller than the sum of its proper divisors (37732751616).

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

11417602560 is a wasteful number, since it uses less digits than its factorization.

11417602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 11417602560 in words is "eleven billion, four hundred seventeen million, six hundred two thousand, five hundred sixty".