11858361600 has 216 divisors, whose sum is σ = 39253237632. Its totient is φ = 3152691200.

The previous prime is 11858361533. The next prime is 11858361617. The reversal of 11858361600 is 616385811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8274484 + ... + 8275916.

It is an arithmetic number, because the mean of its divisors is an integer number (181727952).

Almost surely, 2^11858361600 is an apocalyptic number.

11858361600 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 11858361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626618816).

11858361600 is an abundant number, since it is smaller than the sum of its proper divisors (27394876032).

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

11858361600 is a wasteful number, since it uses less digits than its factorization.

11858361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 11858361600 in words is "eleven billion, eight hundred fifty-eight million, three hundred sixty-one thousand, six hundred".