25813552988160 has 1440 divisors, whose sum is σ = 108082983808800. Its totient is φ = 5893106171904.

The previous prime is 25813552988131. The next prime is 25813552988203. The reversal of 25813552988160 is 6188925531852.

25813552988160 is a `hidden beast` number, since 2 + 5 + 8 + 13 + 5 + 529 + 88 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31213485667 + ... + 31213486493.

It is an arithmetic number, because the mean of its divisors is an integer number (75057627645).

Almost surely, 2^{25813552988160} is an apocalyptic number.

25813552988160 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 25813552988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54041491904400).

25813552988160 is an abundant number, since it is smaller than the sum of its proper divisors (82269430820640).

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

25813552988160 is an frugal number, since it uses more digits than its factorization.

25813552988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 25813552988160 in words is "twenty-five trillion, eight hundred thirteen billion, five hundred fifty-two million, nine hundred eighty-eight thousand, one hundred sixty".