240725985696 has 192 divisors, whose sum is σ = 802690560000. Its totient is φ = 68755661568.

The previous prime is 240725985679. The next prime is 240725985713. The reversal of 240725985696 is 696589527042.

240725985696 is a `hidden beast` number, since 2 + 40 + 7 + 25 + 9 + 8 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (240725985679) and next prime (240725985713).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 31 ways as a sum of consecutive naturals, for example, 26745805 + ... + 26754803.

It is an arithmetic number, because the mean of its divisors is an integer number (4180680000).

Almost surely, 2^240725985696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240725985696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401345280000).

240725985696 is an abundant number, since it is smaller than the sum of its proper divisors (561964574304).

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

240725985696 is a wasteful number, since it uses less digits than its factorization.

240725985696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13448 (or 13434 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 240725985696 in words is "two hundred forty billion, seven hundred twenty-five million, nine hundred eighty-five thousand, six hundred ninety-six".