25520946411456 has 336 divisors, whose sum is σ = 74220441368320. Its totient is φ = 8383553187840.

The previous prime is 25520946411421. The next prime is 25520946411461. The reversal of 25520946411456 is 65411464902552.

25520946411456 is a `hidden beast` number, since 2 + 5 + 520 + 9 + 4 + 64 + 1 + 1 + 4 + 56 = 666.

It is a super-3 number, since 3×25520946411456³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12690673491 + ... + 12690675501.

Almost surely, 2^{25520946411456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25520946411456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37110220684160).

25520946411456 is an abundant number, since it is smaller than the sum of its proper divisors (48699494956864).

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

25520946411456 is a wasteful number, since it uses less digits than its factorization.

25520946411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 25520946411456 in words is "twenty-five trillion, five hundred twenty billion, nine hundred forty-six million, four hundred eleven thousand, four hundred fifty-six".