25487112028800 has 384 divisors, whose sum is σ = 88448641781760. Its totient is φ = 6437937623040.

The previous prime is 25487112028793. The next prime is 25487112028801. The reversal of 25487112028800 is 882021178452.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25487112028800.

It is not an unprimeable number, because it can be changed into a prime (25487112028801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22182057 + ... + 23302743.

It is an arithmetic number, because the mean of its divisors is an integer number (230335004640).

Almost surely, 2^{25487112028800} is an apocalyptic number.

25487112028800 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 25487112028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44224320890880).

25487112028800 is an abundant number, since it is smaller than the sum of its proper divisors (62961529752960).

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

25487112028800 is a wasteful number, since it uses less digits than its factorization.

25487112028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120840 (or 1120823 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The spelling of 25487112028800 in words is "twenty-five trillion, four hundred eighty-seven billion, one hundred twelve million, twenty-eight thousand, eight hundred".