8252001600 has 168 divisors, whose sum is σ = 27947282688. Its totient is φ = 2129510400.

The previous prime is 8252001599. The next prime is 8252001623. The reversal of 8252001600 is 61002528.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 121072 + ... + 176528.

Almost surely, 2^8252001600 is an apocalyptic number.

8252001600 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 8252001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13973641344).

8252001600 is an abundant number, since it is smaller than the sum of its proper divisors (19695281088).

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

8252001600 is a wasteful number, since it uses less digits than its factorization.

8252001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55513 (or 55498 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8252001600 is about 90840.5284000484. The cubic root of 8252001600 is about 2020.7834101482.

The spelling of 8252001600 in words is "eight billion, two hundred fifty-two million, one thousand, six hundred".