25440706851840 has 792 divisors, whose sum is σ = 104614879928832. Its totient is φ = 5814964961280.

The previous prime is 25440706851823. The next prime is 25440706851863. The reversal of 25440706851840 is 4815860704452.

25440706851840 is a `hidden beast` number, since 2 + 5 + 440 + 70 + 6 + 8 + 51 + 84 + 0 = 666.

It is a super-2 number, since 2×25440706851840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 235092145 + ... + 235200335.

Almost surely, 2^{25440706851840} is an apocalyptic number.

25440706851840 is a gapful number since it is divisible by the number (20) 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 25440706851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52307439964416).

25440706851840 is an abundant number, since it is smaller than the sum of its proper divisors (79174173076992).

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

25440706851840 is an frugal number, since it uses more digits than its factorization.

25440706851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108247 (or 108208 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 25440706851840 in words is "twenty-five trillion, four hundred forty billion, seven hundred six million, eight hundred fifty-one thousand, eight hundred forty".