8051251200 has 576 divisors, whose sum is σ = 28955646720. Its totient is φ = 1968046080.

The previous prime is 8051251193. The next prime is 8051251217. The reversal of 8051251200 is 21521508.

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 47 ways as a sum of consecutive naturals, for example, 151910374 + ... + 151910426.

It is an arithmetic number, because the mean of its divisors is an integer number (50270220).

Almost surely, 2^8051251200 is an apocalyptic number.

8051251200 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 8051251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14477823360).

8051251200 is an abundant number, since it is smaller than the sum of its proper divisors (20904395520).

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

8051251200 is a wasteful number, since it uses less digits than its factorization.

8051251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 8051251200 is about 89728.7646187108. The cubic root of 8051251200 is about 2004.2618452202.

Adding to 8051251200 its reverse (21521508), we get a palindrome (8072772708).

The spelling of 8051251200 in words is "eight billion, fifty-one million, two hundred fifty-one thousand, two hundred".