25071852349440 has 576 divisors, whose sum is σ = 93627986371920. Its totient is φ = 6168285020160.

The previous prime is 25071852349433. The next prime is 25071852349441. The reversal of 25071852349440 is 4494325817052.

It is a happy number.

25071852349440 is a `hidden beast` number, since 2 + 5 + 0 + 71 + 8 + 523 + 4 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 934361957376 + 24137490392064 = 966624^2 + 4912992^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (25071852349441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2924508994 + ... + 2924517566.

Almost surely, 2^{25071852349440} is an apocalyptic number.

25071852349440 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 25071852349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46813993185960).

25071852349440 is an abundant number, since it is smaller than the sum of its proper divisors (68556134022480).

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

25071852349440 is a wasteful number, since it uses less digits than its factorization.

25071852349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 25071852349440 in words is "twenty-five trillion, seventy-one billion, eight hundred fifty-two million, three hundred forty-nine thousand, four hundred forty".