25655311355652 has 384 divisors, whose sum is σ = 77198474035200. Its totient is φ = 7294236364800.

The previous prime is 25655311355579. The next prime is 25655311355657.

25655311355652 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 5 + 31 + 1 + 3 + 556 + 52 = 666.

25655311355652 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (25655311355657) 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 127 ways as a sum of consecutive naturals, for example, 385592724 + ... + 385659252.

It is an arithmetic number, because the mean of its divisors is an integer number (201037692800).

Almost surely, 2^{25655311355652} is an apocalyptic number.

25655311355652 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 25655311355652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38599237017600).

25655311355652 is an abundant number, since it is smaller than the sum of its proper divisors (51543162679548).

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

25655311355652 is a wasteful number, since it uses less digits than its factorization.

25655311355652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66904 (or 66896 counting only the distinct ones).

The product of its digits is 20250000, while the sum is 54.

The spelling of 25655311355652 in words is "twenty-five trillion, six hundred fifty-five billion, three hundred eleven million, three hundred fifty-five thousand, six hundred fifty-two".