25874458536960 has 528 divisors, whose sum is σ = 100190279603232. Its totient is φ = 6119600947200.

The previous prime is 25874458536947. The next prime is 25874458536991. The reversal of 25874458536960 is 6963585447852.

25874458536960 is a `hidden beast` number, since 2 + 5 + 8 + 7 + 4 + 4 + 585 + 36 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

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, 20159562 + ... + 21404598.

Almost surely, 2^{25874458536960} is an apocalyptic number.

25874458536960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25874458536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50095139801616).

25874458536960 is an abundant number, since it is smaller than the sum of its proper divisors (74315821066272).

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

25874458536960 is a wasteful number, since it uses less digits than its factorization.

25874458536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245120 (or 1245099 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 25874458536960 in words is "twenty-five trillion, eight hundred seventy-four billion, four hundred fifty-eight million, five hundred thirty-six thousand, nine hundred sixty".