25657434022140 has 144 divisors (see below), whose sum is σ = 78431255229600. Its totient is φ = 6789064871424.

The previous prime is 25657434022097. The next prime is 25657434022147. The reversal of 25657434022140 is 4122043475652.

25657434022140 is a `hidden beast` number, since 2 + 5 + 6 + 57 + 434 + 0 + 22 + 140 = 666.

It is a super-3 number, since 3×25657434022140³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25657434022147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15040891 + ... + 16659629.

It is an arithmetic number, because the mean of its divisors is an integer number (544661494650).

Almost surely, 2^{25657434022140} is an apocalyptic number.

25657434022140 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 25657434022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39215627614800).

25657434022140 is an abundant number, since it is smaller than the sum of its proper divisors (52773821207460).

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

25657434022140 is a wasteful number, since it uses less digits than its factorization.

25657434022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619436 (or 1619431 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

Adding to 25657434022140 its reverse (4122043475652), we get a palindrome (29779477497792).

The spelling of 25657434022140 in words is "twenty-five trillion, six hundred fifty-seven billion, four hundred thirty-four million, twenty-two thousand, one hundred forty".