25557695311680 has 448 divisors, whose sum is σ = 103179526594560. Its totient is φ = 5833969920000.

The previous prime is 25557695311649. The next prime is 25557695311697. The reversal of 25557695311680 is 8611359675552.

25557695311680 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 7 + 6 + 9 + 531 + 16 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45139135 + ... + 45701825.

Almost surely, 2^{25557695311680} is an apocalyptic number.

25557695311680 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 25557695311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51589763297280).

25557695311680 is an abundant number, since it is smaller than the sum of its proper divisors (77621831282880).

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

25557695311680 is a wasteful number, since it uses less digits than its factorization.

25557695311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563475 (or 563459 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 25557695311680 in words is "twenty-five trillion, five hundred fifty-seven billion, six hundred ninety-five million, three hundred eleven thousand, six hundred eighty".