25870233648 has 480 divisors, whose sum is σ = 83540367360. Its totient is φ = 6868592640.

The previous prime is 25870233643. The next prime is 25870233661. The reversal of 25870233648 is 84633207852.

It is a happy number.

It is a super-2 number, since 2×25870233648² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 25870233597 and 25870233606.

It is not an unprimeable number, because it can be changed into a prime (25870233643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 327471273 + ... + 327471351.

It is an arithmetic number, because the mean of its divisors is an integer number (174042432).

Almost surely, 2^25870233648 is an apocalyptic number.

25870233648 is a gapful number since it is divisible by the number (28) 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 25870233648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41770183680).

25870233648 is an abundant number, since it is smaller than the sum of its proper divisors (57670133712).

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

25870233648 is a wasteful number, since it uses less digits than its factorization.

25870233648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 25870233648 in words is "twenty-five billion, eight hundred seventy million, two hundred thirty-three thousand, six hundred forty-eight".