25487426304000 has 1344 divisors, whose sum is σ = 97713135505440. Its totient is φ = 6628884480000.

The previous prime is 25487426303993. The next prime is 25487426304047. The reversal of 25487426304000 is 40362478452.

It is a happy number.

25487426304000 is a `hidden beast` number, since 2 + 5 + 4 + 8 + 7 + 4 + 2 + 630 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×25487426304000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7651582335 + ... + 7651585665.

Almost surely, 2^{25487426304000} is an apocalyptic number.

25487426304000 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 25487426304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48856567752720).

25487426304000 is an abundant number, since it is smaller than the sum of its proper divisors (72225709201440).

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

25487426304000 is an frugal number, since it uses more digits than its factorization.

25487426304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3427 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 25487426304000 in words is "twenty-five trillion, four hundred eighty-seven billion, four hundred twenty-six million, three hundred four thousand".