8051865600 has 576 divisors, whose sum is σ = 29248128000. Its totient is φ = 1946419200.

The previous prime is 8051865589. The next prime is 8051865611. The reversal of 8051865600 is 65681508.

It is an interprime number because it is at equal distance from previous prime (8051865589) and next prime (8051865611).

It is a super-3 number, since 3×8051865600³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90470356 + ... + 90470444.

It is an arithmetic number, because the mean of its divisors is an integer number (50778000).

Almost surely, 2^8051865600 is an apocalyptic number.

8051865600 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 8051865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14624064000).

8051865600 is an abundant number, since it is smaller than the sum of its proper divisors (21196262400).

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

8051865600 is a wasteful number, since it uses less digits than its factorization.

8051865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 8051865600 is about 89732.1882046794. The cubic root of 8051865600 is about 2004.3128264125.

The spelling of 8051865600 in words is "eight billion, fifty-one million, eight hundred sixty-five thousand, six hundred".