25953971006016 has 315 divisors, whose sum is σ = 77572649392491. Its totient is φ = 8580285904896.

The previous prime is 25953971005913. The next prime is 25953971006101. The reversal of 25953971006016 is 61060017935952.

The square root of 25953971006016 is 5094504.

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

25953971006016 is a `hidden beast` number, since 2 + 5 + 95 + 397 + 100 + 60 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17604737640000 + 8349233366016 = 4195800^2 + 2889504^2 .

It is a super-2 number, since 2×25953971006016² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63457141620 + ... + 63457142028.

Almost surely, 2^{25953971006016} is an apocalyptic number.

25953971006016 is the 5094504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25953971006016

25953971006016 is an abundant number, since it is smaller than the sum of its proper divisors (51618678386475).

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

25953971006016 is an frugal number, since it uses more digits than its factorization.

25953971006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 25953971006016 in words is "twenty-five trillion, nine hundred fifty-three billion, nine hundred seventy-one million, six thousand, sixteen".