25351780416000 has 320 divisors, whose sum is σ = 84355152710400. Its totient is φ = 6755115417600.

The previous prime is 25351780415939. The next prime is 25351780416007. The reversal of 25351780416000 is 61408715352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×25351780416000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25351780416007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245132301 + ... + 245235699.

It is an arithmetic number, because the mean of its divisors is an integer number (263609852220).

Almost surely, 2^{25351780416000} is an apocalyptic number.

25351780416000 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 25351780416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42177576355200).

25351780416000 is an abundant number, since it is smaller than the sum of its proper divisors (59003372294400).

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

25351780416000 is a wasteful number, since it uses less digits than its factorization.

25351780416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104712 (or 104686 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 25351780416000 in words is "twenty-five trillion, three hundred fifty-one billion, seven hundred eighty million, four hundred sixteen thousand".