11258616160 has 192 divisors, whose sum is σ = 29813603904. Its totient is φ = 3982950400.

The previous prime is 11258616137. The next prime is 11258616199. The reversal of 11258616160 is 6161685211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12778920 + ... + 12779800.

It is an arithmetic number, because the mean of its divisors is an integer number (155279187).

Almost surely, 2^11258616160 is an apocalyptic number.

11258616160 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 11258616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14906801952).

11258616160 is an abundant number, since it is smaller than the sum of its proper divisors (18554987744).

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

11258616160 is a wasteful number, since it uses less digits than its factorization.

11258616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 11258616160 in words is "eleven billion, two hundred fifty-eight million, six hundred sixteen thousand, one hundred sixty".