25481475072000 has 2240 divisors, whose sum is σ = 99750231060480. Its totient is φ = 6465650688000.

The previous prime is 25481475071999. The next prime is 25481475072019. The reversal of 25481475072000 is 27057418452.

25481475072000 is a `hidden beast` number, since 2 + 5 + 4 + 81 + 47 + 507 + 20 + 0 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 200641535937 + ... + 200641536063.

It is an arithmetic number, because the mean of its divisors is an integer number (44531353152).

Almost surely, 2^{25481475072000} is an apocalyptic number.

25481475072000 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 25481475072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49875115530240).

25481475072000 is an abundant number, since it is smaller than the sum of its proper divisors (74268755988480).

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

25481475072000 is an equidigital number, since it uses as much as digits as its factorization.

25481475072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 25481475072000 in words is "twenty-five trillion, four hundred eighty-one billion, four hundred seventy-five million, seventy-two thousand".