11601289856 has 64 divisors (see below), whose sum is σ = 25136584200. Its totient is φ = 5301350400.

The previous prime is 11601289841. The next prime is 11601289873. The reversal of 11601289856 is 65898210611.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9785166400 + 1816123456 = 98920^2 + 42616^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11601289856³ (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11601289856.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133550 + ... + 202578.

Almost surely, 2^11601289856 is an apocalyptic number.

11601289856 is a gapful number since it is divisible by the number (16) 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 11601289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568292100).

11601289856 is an abundant number, since it is smaller than the sum of its proper divisors (13535294344).

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

11601289856 is a wasteful number, since it uses less digits than its factorization.

11601289856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69157 (or 69145 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 47.

The spelling of 11601289856 in words is "eleven billion, six hundred one million, two hundred eighty-nine thousand, eight hundred fifty-six".