25127440920064 has 400 divisors, whose sum is σ = 59505437122560. Its totient is φ = 10598306181120.

The previous prime is 25127440920053. The next prime is 25127440920073. The reversal of 25127440920064 is 46002904472152.

It is a junction number, because it is equal to n+sod(n) for n = 25127440919996 and 25127440920023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24184254457 + ... + 24184255495.

Almost surely, 2^{25127440920064} 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 25127440920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752718561280).

25127440920064 is an abundant number, since it is smaller than the sum of its proper divisors (34377996202496).

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

25127440920064 is an equidigital number, since it uses as much as digits as its factorization.

25127440920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 25127440920064 in words is "twenty-five trillion, one hundred twenty-seven billion, four hundred forty million, nine hundred twenty thousand, sixty-four".