25878738385752 has 512 divisors, whose sum is σ = 80558663270400. Its totient is φ = 6763523590656.

The previous prime is 25878738385693. The next prime is 25878738385781. The reversal of 25878738385752 is 25758383787852.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14481665803 + ... + 14481667589.

It is an arithmetic number, because the mean of its divisors is an integer number (157341139200).

Almost surely, 2^{25878738385752} 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 25878738385752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279331635200).

25878738385752 is an abundant number, since it is smaller than the sum of its proper divisors (54679924884648).

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

25878738385752 is a wasteful number, since it uses less digits than its factorization.

25878738385752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3115 (or 3111 counting only the distinct ones).

The product of its digits is 6322176000, while the sum is 78.

The spelling of 25878738385752 in words is "twenty-five trillion, eight hundred seventy-eight billion, seven hundred thirty-eight million, three hundred eighty-five thousand, seven hundred fifty-two".