51879088800 has 1296 divisors, whose sum is σ = 235993395456. Its totient is φ = 10492416000.

The previous prime is 51879088771. The next prime is 51879088801. The reversal of 51879088800 is 888097815.

It is not an unprimeable number, because it can be changed into a prime (51879088801) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 286624710 + ... + 286624890.

Almost surely, 2^51879088800 is an apocalyptic number.

51879088800 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 51879088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117996697728).

51879088800 is an abundant number, since it is smaller than the sum of its proper divisors (184114306656).

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

51879088800 is a wasteful number, since it uses less digits than its factorization.

51879088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The spelling of 51879088800 in words is "fifty-one billion, eight hundred seventy-nine million, eighty-eight thousand, eight hundred".