25556411465552 has 80 divisors (see below), whose sum is σ = 54471669286464. Its totient is φ = 11614783030400.

The previous prime is 25556411465503. The next prime is 25556411465617.

25556411465552 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145299902 + ... + 145475682.

Almost surely, 2^{25556411465552} is an apocalyptic number.

25556411465552 is a gapful number since it is divisible by the number (22) 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 25556411465552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235834643232).

25556411465552 is an abundant number, since it is smaller than the sum of its proper divisors (28915257820912).

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

25556411465552 is a wasteful number, since it uses less digits than its factorization.

25556411465552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182649 (or 182621 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 56.

The spelling of 25556411465552 in words is "twenty-five trillion, five hundred fifty-six billion, four hundred eleven million, four hundred sixty-five thousand, five hundred fifty-two".