25865874078516 has 72 divisors (see below), whose sum is σ = 66635231644800. Its totient is φ = 8456942430144.

The previous prime is 25865874078509. The next prime is 25865874078581. The reversal of 25865874078516 is 61587047856852.

25865874078516 is a `hidden beast` number, since 2 + 5 + 8 + 65 + 8 + 7 + 40 + 7 + 8 + 516 = 666.

It is a super-3 number, since 3×25865874078516³ (a number of 41 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5041785 + ... + 8783583.

It is an arithmetic number, because the mean of its divisors is an integer number (925489328400).

Almost surely, 2^{25865874078516} 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 25865874078516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33317615822400).

25865874078516 is an abundant number, since it is smaller than the sum of its proper divisors (40769357566284).

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

25865874078516 is a wasteful number, since it uses less digits than its factorization.

25865874078516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3745485 (or 3745480 counting only the distinct ones).

The product of its (nonzero) digits is 903168000, while the sum is 72.

The spelling of 25865874078516 in words is "twenty-five trillion, eight hundred sixty-five billion, eight hundred seventy-four million, seventy-eight thousand, five hundred sixteen".