25428548160 has 448 divisors, whose sum is σ = 95039078400. Its totient is φ = 6382540800.

The previous prime is 25428548137. The next prime is 25428548251. The reversal of 25428548160 is 6184582452.

25428548160 is a `hidden beast` number, since 2 + 5 + 42 + 8 + 548 + 1 + 60 = 666.

It is a super-2 number, since 2×25428548160² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 31354155 + ... + 31354965.

It is an arithmetic number, because the mean of its divisors is an integer number (212140800).

Almost surely, 2^25428548160 is an apocalyptic number.

25428548160 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 25428548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47519539200).

25428548160 is an abundant number, since it is smaller than the sum of its proper divisors (69610530240).

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

25428548160 is a wasteful number, since it uses less digits than its factorization.

25428548160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 25428548160 in words is "twenty-five billion, four hundred twenty-eight million, five hundred forty-eight thousand, one hundred sixty".