25994981376000 has 4608 divisors, whose sum is σ = 124724412671040. Its totient is φ = 5350883328000.

The previous prime is 25994981375971. The next prime is 25994981376059. The reversal of 25994981376000 is 67318949952.

25994981376000 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 4 + 9 + 8 + 13 + 7 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 634023935980 + ... + 634023936020.

It is a 1-persistent number, because it is pandigital, but 2⋅25994981376000 = 51989962752000 is not.

Almost surely, 2^{25994981376000} is an apocalyptic number.

25994981376000 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 25994981376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362206335520).

25994981376000 is an abundant number, since it is smaller than the sum of its proper divisors (98729431295040).

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

25994981376000 is an frugal number, since it uses more digits than its factorization.

25994981376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 25994981376000 in words is "twenty-five trillion, nine hundred ninety-four billion, nine hundred eighty-one million, three hundred seventy-six thousand".