51437673600 has 192 divisors, whose sum is σ = 170010368640. Its totient is φ = 13669150720.

The previous prime is 51437673571. The next prime is 51437673697. The reversal of 51437673600 is 637673415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2803657 + ... + 2821943.

It is an arithmetic number, because the mean of its divisors is an integer number (885470670).

Almost surely, 2^51437673600 is an apocalyptic number.

51437673600 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 51437673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85005184320).

51437673600 is an abundant number, since it is smaller than the sum of its proper divisors (118572695040).

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

51437673600 is a wasteful number, since it uses less digits than its factorization.

51437673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18607 (or 18590 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 42.

The spelling of 51437673600 in words is "fifty-one billion, four hundred thirty-seven million, six hundred seventy-three thousand, six hundred".