51200000000 has 162 divisors, whose sum is σ = 127999446183. Its totient is φ = 20480000000.

The previous prime is 51199999987. The next prime is 51200000003. The reversal of 51200000000 is 215.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 48809181184 + 2390818816 = 220928^2 + 48896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=160000.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51200000003) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10239999998 + ... + 10240000002.

Almost surely, 2^51200000000 is an apocalyptic number.

51200000000 is a gapful number since it is divisible by the number (50) 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 51200000000

51200000000 is an abundant number, since it is smaller than the sum of its proper divisors (76799446183).

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

51200000000 is an frugal number, since it uses more digits than its factorization.

51200000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

Multiplying 51200000000 by its product of nonzero digits (10), we get a 9-th power (512000000000 = 20⁹).

Adding to 51200000000 its reverse (215), we get a palindrome (51200000215).

The spelling of 51200000000 in words is "fifty-one billion, two hundred million", and thus it is an aban number.