25123626528 has 720 divisors, whose sum is σ = 95998289184. Its totient is φ = 5669314560.

The previous prime is 25123626497. The next prime is 25123626529. The reversal of 25123626528 is 82562632152.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 25123626528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25123626529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1477860376 + ... + 1477860392.

Almost surely, 2^25123626528 is an apocalyptic number.

25123626528 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 25123626528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47999144592).

25123626528 is an abundant number, since it is smaller than the sum of its proper divisors (70874662656).

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

25123626528 is a wasteful number, since it uses less digits than its factorization.

25123626528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 53 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

It can be divided in two parts, 2512362 and 6528, that added together give a triangular number (2518890 = T₂₂₄₄).

The spelling of 25123626528 in words is "twenty-five billion, one hundred twenty-three million, six hundred twenty-six thousand, five hundred twenty-eight".