25854854901120 has 1792 divisors, whose sum is σ = 108781795584000. Its totient is φ = 5751542661120.

The previous prime is 25854854901107. The next prime is 25854854901163. The reversal of 25854854901120 is 2110945845852.

It is a happy number.

25854854901120 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 485 + 49 + 0 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 21003130905 + ... + 21003132135.

It is an arithmetic number, because the mean of its divisors is an integer number (60704127000).

Almost surely, 2^{25854854901120} is an apocalyptic number.

25854854901120 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 25854854901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54390897792000).

25854854901120 is an abundant number, since it is smaller than the sum of its proper divisors (82926940682880).

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

25854854901120 is a wasteful number, since it uses less digits than its factorization.

25854854901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 25854854901120 in words is "twenty-five trillion, eight hundred fifty-four billion, eight hundred fifty-four million, nine hundred one thousand, one hundred twenty".