51002000000 has 224 divisors, whose sum is σ = 145188766560. Its totient is φ = 17481600000.

The previous prime is 51001999973. The next prime is 51002000069. The reversal of 51002000000 is 20015.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 13998179 + ... + 14001821.

Almost surely, 2^51002000000 is an apocalyptic number.

51002000000 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 51002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72594383280).

51002000000 is an abundant number, since it is smaller than the sum of its proper divisors (94186766560).

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

51002000000 is an frugal number, since it uses more digits than its factorization.

51002000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3657 counting only the distinct ones).

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

Adding to 51002000000 its reverse (20015), we get a palindrome (51002020015).

The spelling of 51002000000 in words is "fifty-one billion, two million", and thus it is an aban number and an uban number.