51256744000 has 336 divisors, whose sum is σ = 161099138304. Its totient is φ = 15974784000.

The previous prime is 51256743997. The next prime is 51256744003. The reversal of 51256744000 is 44765215.

51256744000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51256743997) and next prime (51256744003).

It is not an unprimeable number, because it can be changed into a prime (51256744003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4306057 + ... + 4317943.

Almost surely, 2^51256744000 is an apocalyptic number.

51256744000 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 51256744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80549569152).

51256744000 is an abundant number, since it is smaller than the sum of its proper divisors (109842394304).

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

51256744000 is a wasteful number, since it uses less digits than its factorization.

51256744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11939 (or 11912 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 51256744000 in words is "fifty-one billion, two hundred fifty-six million, seven hundred forty-four thousand".