25561678143456 has 480 divisors, whose sum is σ = 93200015240640. Its totient is φ = 6692324696064.

The previous prime is 25561678143349. The next prime is 25561678143461. The reversal of 25561678143456 is 65434187616552.

25561678143456 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 1 + 67 + 81 + 43 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25561678143393 and 25561678143402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31918950 + ... + 32709978.

It is an arithmetic number, because the mean of its divisors is an integer number (194166698418).

Almost surely, 2^{25561678143456} is an apocalyptic number.

25561678143456 is a gapful number since it is divisible by the number (26) 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 25561678143456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46600007620320).

25561678143456 is an abundant number, since it is smaller than the sum of its proper divisors (67638337097184).

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

25561678143456 is a wasteful number, since it uses less digits than its factorization.

25561678143456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791208 (or 791191 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 25561678143456 in words is "twenty-five trillion, five hundred sixty-one billion, six hundred seventy-eight million, one hundred forty-three thousand, four hundred fifty-six".