11425685040 has 960 divisors, whose sum is σ = 52646630400. Its totient is φ = 2229534720.

The previous prime is 11425685003. The next prime is 11425685069. The reversal of 11425685040 is 4058652411.

It is a happy number.

11425685040 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 568 + 50 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11425684986 and 11425685004.

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 191 ways as a sum of consecutive naturals, for example, 25446736 + ... + 25447184.

It is an arithmetic number, because the mean of its divisors is an integer number (54840240).

Almost surely, 2^11425685040 is an apocalyptic number.

11425685040 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 11425685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26323315200).

11425685040 is an abundant number, since it is smaller than the sum of its proper divisors (41220945360).

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

11425685040 is a wasteful number, since it uses less digits than its factorization.

11425685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11425685040 in words is "eleven billion, four hundred twenty-five million, six hundred eighty-five thousand, forty".