8005525400 has 96 divisors (see below), whose sum is σ = 19289502000. Its totient is φ = 3086200320.

The previous prime is 8005525399. The next prime is 8005525427. The reversal of 8005525400 is 45255008.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4795766 + ... + 4797434.

Almost surely, 2^8005525400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8005525400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9644751000).

8005525400 is an abundant number, since it is smaller than the sum of its proper divisors (11283976600).

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

8005525400 is a wasteful number, since it uses less digits than its factorization.

8005525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The square root of 8005525400 is about 89473.6016934604. The cubic root of 8005525400 is about 2000.4603440336.

The spelling of 8005525400 in words is "eight billion, five million, five hundred twenty-five thousand, four hundred".