51420051000 has 192 divisors, whose sum is σ = 174036470400. Its totient is φ = 13693344000.

The previous prime is 51420050971. The next prime is 51420051017. The reversal of 51420051000 is 15002415.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7385521 + ... + 7392479.

It is an arithmetic number, because the mean of its divisors is an integer number (906439950).

Almost surely, 2^51420051000 is an apocalyptic number.

51420051000 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 51420051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87018235200).

51420051000 is an abundant number, since it is smaller than the sum of its proper divisors (122616419400).

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

51420051000 is a wasteful number, since it uses less digits than its factorization.

51420051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7807 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 51420051000 its reverse (15002415), we get a palindrome (51435053415).

The spelling of 51420051000 in words is "fifty-one billion, four hundred twenty million, fifty-one thousand".