11861865400 has 192 divisors, whose sum is σ = 34618498560. Its totient is φ = 3672000000.

The previous prime is 11861865361. The next prime is 11861865419. The reversal of 11861865400 is 456816811.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2322850 + ... + 2327950.

It is an arithmetic number, because the mean of its divisors is an integer number (180304680).

Almost surely, 2^11861865400 is an apocalyptic number.

11861865400 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 11861865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309249280).

11861865400 is an abundant number, since it is smaller than the sum of its proper divisors (22756633160).

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

11861865400 is a wasteful number, since it uses less digits than its factorization.

11861865400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 11861865400 in words is "eleven billion, eight hundred sixty-one million, eight hundred sixty-five thousand, four hundred".