11825896320 has 1024 divisors, whose sum is σ = 52030771200. Its totient is φ = 2508226560.

The previous prime is 11825896319. The next prime is 11825896351. The reversal of 11825896320 is 2369852811.

11825896320 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 5 + 8 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 166561885 + ... + 166561955.

It is an arithmetic number, because the mean of its divisors is an integer number (50811300).

Almost surely, 2^11825896320 is an apocalyptic number.

11825896320 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 11825896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26015385600).

11825896320 is an abundant number, since it is smaller than the sum of its proper divisors (40204874880).

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

11825896320 is an frugal number, since it uses more digits than its factorization.

11825896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 11825896320 in words is "eleven billion, eight hundred twenty-five million, eight hundred ninety-six thousand, three hundred twenty".