25846067806848 has 512 divisors, whose sum is σ = 78560471808000. Its totient is φ = 8360406835200.

The previous prime is 25846067806843. The next prime is 25846067806859. The reversal of 25846067806848 is 84860876064852.

25846067806848 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 606 + 7 + 8 + 0 + 6 + 8 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (25846067806843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40960487493 + ... + 40960488123.

It is an arithmetic number, because the mean of its divisors is an integer number (153438421500).

Almost surely, 2^{25846067806848} 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 25846067806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39280235904000).

25846067806848 is an abundant number, since it is smaller than the sum of its proper divisors (52714404001152).

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

25846067806848 is a wasteful number, since it uses less digits than its factorization.

25846067806848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 72.

The spelling of 25846067806848 in words is "twenty-five trillion, eight hundred forty-six billion, sixty-seven million, eight hundred six thousand, eight hundred forty-eight".