25714751616 has 256 divisors, whose sum is σ = 80622432000. Its totient is φ = 8040923136.

The previous prime is 25714751611. The next prime is 25714751641. The reversal of 25714751616 is 61615741752.

25714751616 is a `hidden beast` number, since 2 + 571 + 4 + 75 + 1 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×25714751616² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25714751611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25791630 + ... + 25792626.

It is an arithmetic number, because the mean of its divisors is an integer number (314931375).

Almost surely, 2^25714751616 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 25714751616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40311216000).

25714751616 is an abundant number, since it is smaller than the sum of its proper divisors (54907680384).

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

25714751616 is a wasteful number, since it uses less digits than its factorization.

25714751616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1458 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The spelling of 25714751616 in words is "twenty-five billion, seven hundred fourteen million, seven hundred fifty-one thousand, six hundred sixteen".