51134304000 has 288 divisors, whose sum is σ = 182911869504. Its totient is φ = 12586598400.

The previous prime is 51134303971. The next prime is 51134304031. The reversal of 51134304000 is 40343115.

It is a super-2 number, since 2×51134304000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1227514 + ... + 1268486.

It is an arithmetic number, because the mean of its divisors is an integer number (635110658).

Almost surely, 2^51134304000 is an apocalyptic number.

51134304000 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 51134304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91455934752).

51134304000 is an abundant number, since it is smaller than the sum of its proper divisors (131777565504).

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

51134304000 is a wasteful number, since it uses less digits than its factorization.

51134304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41020 (or 40996 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 51134304000 its reverse (40343115), we get a palindrome (51174647115).

The spelling of 51134304000 in words is "fifty-one billion, one hundred thirty-four million, three hundred four thousand".