51838976000 has 320 divisors, whose sum is σ = 149182862400. Its totient is φ = 17616076800.

The previous prime is 51838975999. The next prime is 51838976009. The reversal of 51838976000 is 67983815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51838976009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458751944 + ... + 458752056.

It is an arithmetic number, because the mean of its divisors is an integer number (466196445).

Almost surely, 2^51838976000 is an apocalyptic number.

51838976000 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 51838976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74591431200).

51838976000 is an abundant number, since it is smaller than the sum of its proper divisors (97343886400).

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

51838976000 is an frugal number, since it uses more digits than its factorization.

51838976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 51838976000 in words is "fifty-one billion, eight hundred thirty-eight million, nine hundred seventy-six thousand".