25167319023616 has 405 divisors, whose sum is σ = 64484124709557. Its totient is φ = 9786184826880.

The previous prime is 25167319023599. The next prime is 25167319023643. The reversal of 25167319023616 is 61632091376152.

The square root of 25167319023616 is 5016704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20465707401216 + 4701611622400 = 4523904^2 + 2168320^2 .

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 26 ways as a sum of consecutive naturals, for example, 49444634370 + ... + 49444634878.

Almost surely, 2^{25167319023616} is an apocalyptic number.

25167319023616 is the 5016704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25167319023616

25167319023616 is an abundant number, since it is smaller than the sum of its proper divisors (39316805685941).

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

25167319023616 is an frugal number, since it uses more digits than its factorization.

25167319023616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 25167319023616 in words is "twenty-five trillion, one hundred sixty-seven billion, three hundred nineteen million, twenty-three thousand, six hundred sixteen".