25661801797632 has 3024 divisors, whose sum is σ = 106408572903360. Its totient is φ = 6125089259520.

The previous prime is 25661801797607. The next prime is 25661801797633. The reversal of 25661801797632 is 23679710816652.

25661801797632 is a `hidden beast` number, since 2 + 5 + 6 + 618 + 0 + 1 + 7 + 9 + 7 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a self number, because there is not a number n which added to its sum of digits gives 25661801797632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25661801797633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 115075344273 + ... + 115075344495.

It is an arithmetic number, because the mean of its divisors is an integer number (35188020140).

Almost surely, 2^{25661801797632} is an apocalyptic number.

25661801797632 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 25661801797632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53204286451680).

25661801797632 is an abundant number, since it is smaller than the sum of its proper divisors (80746771105728).

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

25661801797632 is a wasteful number, since it uses less digits than its factorization.

25661801797632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 25661801797632 in words is "twenty-five trillion, six hundred sixty-one billion, eight hundred one million, seven hundred ninety-seven thousand, six hundred thirty-two".