8525168640 has 360 divisors, whose sum is σ = 30588125568. Its totient is φ = 2194145280.

The previous prime is 8525168629. The next prime is 8525168651. The reversal of 8525168640 is 468615258.

8525168640 is a `hidden beast` number, since 8 + 52 + 516 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8525168629) and next prime (8525168651).

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22855494 + ... + 22855866.

Almost surely, 2^8525168640 is an apocalyptic number.

8525168640 is a gapful number since it is divisible by the number (80) 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 8525168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294062784).

8525168640 is an abundant number, since it is smaller than the sum of its proper divisors (22062956928).

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

8525168640 is a wasteful number, since it uses less digits than its factorization.

8525168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 8525168640 is about 92331.8397953815. The cubic root of 8525168640 is about 2042.8398740870.

The spelling of 8525168640 in words is "eight billion, five hundred twenty-five million, one hundred sixty-eight thousand, six hundred forty".