11425298400 has 288 divisors, whose sum is σ = 41439847680. Its totient is φ = 3038031360.

The previous prime is 11425298399. The next prime is 11425298407. The reversal of 11425298400 is 489252411.

11425298400 is a `hidden beast` number, since 11 + 42 + 529 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11425298407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11814717 + ... + 11815683.

It is an arithmetic number, because the mean of its divisors is an integer number (143888360).

Almost surely, 2^11425298400 is an apocalyptic number.

11425298400 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 11425298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20719923840).

11425298400 is an abundant number, since it is smaller than the sum of its proper divisors (30014549280).

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

11425298400 is a wasteful number, since it uses less digits than its factorization.

11425298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11425298400 in words is "eleven billion, four hundred twenty-five million, two hundred ninety-eight thousand, four hundred".