11825906400 has 864 divisors, whose sum is σ = 52822119168. Its totient is φ = 2418278400.

The previous prime is 11825906383. The next prime is 11825906423. The reversal of 11825906400 is 460952811.

11825906400 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 5 + 9 + 0 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46015072 + ... + 46015328.

It is an arithmetic number, because the mean of its divisors is an integer number (61136712).

Almost surely, 2^11825906400 is an apocalyptic number.

11825906400 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 11825906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26411059584).

11825906400 is an abundant number, since it is smaller than the sum of its proper divisors (40996212768).

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

11825906400 is a wasteful number, since it uses less digits than its factorization.

11825906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11825906400 in words is "eleven billion, eight hundred twenty-five million, nine hundred six thousand, four hundred".