25972176384000 has 1872 divisors, whose sum is σ = 118825490530656. Its totient is φ = 5396299776000.

The previous prime is 25972176383999. The next prime is 25972176384013. The reversal of 25972176384000 is 48367127952.

It is a happy number.

25972176384000 is a `hidden beast` number, since 2 + 5 + 97 + 2 + 176 + 384 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×25972176384000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2483706772 + ... + 2483717228.

It is an arithmetic number, because the mean of its divisors is an integer number (63475155198).

It is a 2-persistent number, because it is pandigital, and so is 2⋅25972176384000 = 51944352768000, but 3⋅25972176384000 = 77916529152000 is not.

Almost surely, 2^{25972176384000} is an apocalyptic number.

25972176384000 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 25972176384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59412745265328).

25972176384000 is an abundant number, since it is smaller than the sum of its proper divisors (92853314146656).

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

25972176384000 is a wasteful number, since it uses less digits than its factorization.

25972176384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 25972176384000 in words is "twenty-five trillion, nine hundred seventy-two billion, one hundred seventy-six million, three hundred eighty-four thousand".