25457673528 has 192 divisors, whose sum is σ = 81154944000. Its totient is φ = 7059177216.

The previous prime is 25457673523. The next prime is 25457673541. The reversal of 25457673528 is 82537675452.

25457673528 is a `hidden beast` number, since 2 + 5 + 4 + 57 + 67 + 3 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25457673523) 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, 2343726 + ... + 2354562.

It is an arithmetic number, because the mean of its divisors is an integer number (422682000).

Almost surely, 2^25457673528 is an apocalyptic number.

25457673528 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 25457673528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40577472000).

25457673528 is an abundant number, since it is smaller than the sum of its proper divisors (55697270472).

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

25457673528 is a wasteful number, since it uses less digits than its factorization.

25457673528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10987 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 25457673528 in words is "twenty-five billion, four hundred fifty-seven million, six hundred seventy-three thousand, five hundred twenty-eight".