25657622675652 has 192 divisors, whose sum is σ = 66259825680384. Its totient is φ = 7662488924160.

The previous prime is 25657622675621. The next prime is 25657622675749.

25657622675652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×25657622675652² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 14074394413 + ... + 14074396235.

It is an arithmetic number, because the mean of its divisors is an integer number (345103258752).

Almost surely, 2^{25657622675652} is an apocalyptic number.

25657622675652 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 25657622675652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33129912840192).

25657622675652 is an abundant number, since it is smaller than the sum of its proper divisors (40602203004732).

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

25657622675652 is a wasteful number, since it uses less digits than its factorization.

25657622675652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4376 counting only the distinct ones).

The product of its digits is 635040000, while the sum is 66.

The spelling of 25657622675652 in words is "twenty-five trillion, six hundred fifty-seven billion, six hundred twenty-two million, six hundred seventy-five thousand, six hundred fifty-two".