51255412000 has 384 divisors, whose sum is σ = 143893713600. Its totient is φ = 17805312000.

The previous prime is 51255411989. The next prime is 51255412069. The reversal of 51255412000 is 21455215.

51255412000 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 32 ways, for example, as 37792915216 + 13462496784 = 194404^2 + 116028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61827586 + ... + 61828414.

Almost surely, 2^51255412000 is an apocalyptic number.

51255412000 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 51255412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71946856800).

51255412000 is an abundant number, since it is smaller than the sum of its proper divisors (92638301600).

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

51255412000 is a wasteful number, since it uses less digits than its factorization.

51255412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

Adding to 51255412000 its reverse (21455215), we get a palindrome (51276867215).

The spelling of 51255412000 in words is "fifty-one billion, two hundred fifty-five million, four hundred twelve thousand".