2525681500416 has 432 divisors, whose sum is σ = 7530292224000. Its totient is φ = 813781463040.

The previous prime is 2525681500387. The next prime is 2525681500417. The reversal of 2525681500416 is 6140051865252.

2525681500416 is a `hidden beast` number, since 2 + 5 + 2 + 56 + 81 + 500 + 4 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (2525681500417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5143953931 + ... + 5143954421.

It is an arithmetic number, because the mean of its divisors is an integer number (17431232000).

Almost surely, 2^{2525681500416} 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 2525681500416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765146112000).

2525681500416 is an abundant number, since it is smaller than the sum of its proper divisors (5004610723584).

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

2525681500416 is a wasteful number, since it uses less digits than its factorization.

2525681500416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 2525681500416 in words is "two trillion, five hundred twenty-five billion, six hundred eighty-one million, five hundred thousand, four hundred sixteen".