425528110080 has 1056 divisors, whose sum is σ = 1618630041600. Its totient is φ = 103004504064.

The previous prime is 425528110039. The next prime is 425528110097. The reversal of 425528110080 is 80011825524.

425528110080 is a `hidden beast` number, since 4 + 25 + 528 + 1 + 100 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3350614977 + ... + 3350615103.

It is an arithmetic number, because the mean of its divisors is an integer number (1532793600).

Almost surely, 2^425528110080 is an apocalyptic number.

425528110080 is a gapful number since it is divisible by the number (40) 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 425528110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809315020800).

425528110080 is an abundant number, since it is smaller than the sum of its proper divisors (1193101931520).

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

425528110080 is a wasteful number, since it uses less digits than its factorization.

425528110080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 425528110080 in words is "four hundred twenty-five billion, five hundred twenty-eight million, one hundred ten thousand, eighty".