25705963853640 has 896 divisors, whose sum is σ = 102404926494720. Its totient is φ = 5680461312000.

The previous prime is 25705963853629. The next prime is 25705963853641. The reversal of 25705963853640 is 4635836950752.

It is a happy number.

25705963853640 is a `hidden beast` number, since 2 + 5 + 7 + 0 + 5 + 96 + 3 + 8 + 536 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (25705963853641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 12028994652 + ... + 12028996788.

Almost surely, 2^{25705963853640} is an apocalyptic number.

25705963853640 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 25705963853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51202463247360).

25705963853640 is an abundant number, since it is smaller than the sum of its proper divisors (76698962641080).

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

25705963853640 is a wasteful number, since it uses less digits than its factorization.

25705963853640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 163296000, while the sum is 63.

The spelling of 25705963853640 in words is "twenty-five trillion, seven hundred five billion, nine hundred sixty-three million, eight hundred fifty-three thousand, six hundred forty".