51042512000 has 192 divisors, whose sum is σ = 133950318840. Its totient is φ = 19340236800.

The previous prime is 51042511969. The next prime is 51042512011. The reversal of 51042512000 is 21524015.

51042512000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 33994509376 + 17048002624 = 184376^2 + 130568^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5771582 + ... + 5780418.

Almost surely, 2^51042512000 is an apocalyptic number.

51042512000 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 51042512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66975159420).

51042512000 is an abundant number, since it is smaller than the sum of its proper divisors (82907806840).

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

51042512000 is an equidigital number, since it uses as much as digits as its factorization.

51042512000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8863 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 51042512000 in words is "fifty-one billion, forty-two million, five hundred twelve thousand".