8256201600 has 192 divisors, whose sum is σ = 27289704240. Its totient is φ = 2193899520.

The previous prime is 8256201593. The next prime is 8256201637. The reversal of 8256201600 is 61026528.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3041844 + ... + 3044556.

Almost surely, 2^8256201600 is an apocalyptic number.

8256201600 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 8256201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644852120).

8256201600 is an abundant number, since it is smaller than the sum of its proper divisors (19033502640).

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

8256201600 is a wasteful number, since it uses less digits than its factorization.

8256201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3057 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8256201600 is about 90863.6428941741. The cubic root of 8256201600 is about 2021.1261896427.

The spelling of 8256201600 in words is "eight billion, two hundred fifty-six million, two hundred one thousand, six hundred".