51671037600 has 864 divisors, whose sum is σ = 237494799360. Its totient is φ = 10258513920.

The previous prime is 51671037589. The next prime is 51671037631. The reversal of 51671037600 is 673017615.

51671037600 is a `hidden beast` number, since 5 + 1 + 6 + 7 + 10 + 37 + 600 = 666.

It is a super-2 number, since 2×51671037600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11136081 + ... + 11140719.

It is an arithmetic number, because the mean of its divisors is an integer number (274878240).

Almost surely, 2^51671037600 is an apocalyptic number.

51671037600 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 51671037600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118747399680).

51671037600 is an abundant number, since it is smaller than the sum of its proper divisors (185823761760).

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

51671037600 is a wasteful number, since it uses less digits than its factorization.

51671037600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 51671037600 in words is "fifty-one billion, six hundred seventy-one million, thirty-seven thousand, six hundred".