51879484800 has 2304 divisors, whose sum is σ = 249975072000. Its totient is φ = 10351411200.

The previous prime is 51879484793. The next prime is 51879484801. The reversal of 51879484800 is 848497815.

51879484800 is a `hidden beast` number, since 5 + 1 + 87 + 9 + 484 + 80 + 0 = 666.

It is a super-2 number, since 2×51879484800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51879484801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2730499191 + ... + 2730499209.

It is an arithmetic number, because the mean of its divisors is an integer number (108496125).

Almost surely, 2^51879484800 is an apocalyptic number.

51879484800 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 51879484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124987536000).

51879484800 is an abundant number, since it is smaller than the sum of its proper divisors (198095587200).

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

51879484800 is a wasteful number, since it uses less digits than its factorization.

51879484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 51879484800 in words is "fifty-one billion, eight hundred seventy-nine million, four hundred eighty-four thousand, eight hundred".