11858974400 has 336 divisors, whose sum is σ = 36404336640. Its totient is φ = 3702067200.

The previous prime is 11858974397. The next prime is 11858974403. The reversal of 11858974400 is 447985811.

It is an interprime number because it is at equal distance from previous prime (11858974397) and next prime (11858974403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11858974403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11501885 + ... + 11502915.

It is an arithmetic number, because the mean of its divisors is an integer number (108346240).

Almost surely, 2^11858974400 is an apocalyptic number.

11858974400 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 11858974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202168320).

11858974400 is an abundant number, since it is smaller than the sum of its proper divisors (24545362240).

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

11858974400 is a wasteful number, since it uses less digits than its factorization.

11858974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 11858974400 in words is "eleven billion, eight hundred fifty-eight million, nine hundred seventy-four thousand, four hundred".