25765475716512 has 288 divisors, whose sum is σ = 87623126922240. Its totient is φ = 7026503086080.

The previous prime is 25765475716507. The next prime is 25765475716553. The reversal of 25765475716512 is 21561757456752.

25765475716512 is a `hidden beast` number, since 2 + 5 + 7 + 6 + 5 + 4 + 7 + 571 + 6 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×25765475716512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 25765475716512.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738414 + ... + 7386002.

It is an arithmetic number, because the mean of its divisors is an integer number (304246968480).

Almost surely, 2^{25765475716512} 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 25765475716512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43811563461120).

25765475716512 is an abundant number, since it is smaller than the sum of its proper divisors (61857651205728).

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

25765475716512 is a wasteful number, since it uses less digits than its factorization.

25765475716512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5647716 (or 5647705 counting only the distinct ones).

The product of its digits is 123480000, while the sum is 63.

The spelling of 25765475716512 in words is "twenty-five trillion, seven hundred sixty-five billion, four hundred seventy-five million, seven hundred sixteen thousand, five hundred twelve".