51759206400000 has 2304 divisors, whose sum is σ = 203694318354240. Its totient is φ = 11586764800000.

The previous prime is 51759206399977. The next prime is 51759206400023. The reversal of 51759206400000 is 460295715.

It is an interprime number because it is at equal distance from previous prime (51759206399977) and next prime (51759206400023).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 976588799974 + ... + 976588800026.

Almost surely, 2^{51759206400000} is an apocalyptic number.

51759206400000 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 51759206400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101847159177120).

51759206400000 is an abundant number, since it is smaller than the sum of its proper divisors (151935111954240).

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

51759206400000 is an frugal number, since it uses more digits than its factorization.

51759206400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 51759206400000 its reverse (460295715), we get a palindrome (51759666695715).

The spelling of 51759206400000 in words is "fifty-one trillion, seven hundred fifty-nine billion, two hundred six million, four hundred thousand".