51108447600 has 360 divisors, whose sum is σ = 209239560192. Its totient is φ = 11304921600.

The previous prime is 51108447581. The next prime is 51108447629. The reversal of 51108447600 is 674480115.

It is a happy number.

51108447600 is a `hidden beast` number, since 5 + 1 + 1 + 0 + 8 + 4 + 47 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×51108447600² (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 a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 748489 + ... + 813911.

Almost surely, 2^51108447600 is an apocalyptic number.

51108447600 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 51108447600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104619780096).

51108447600 is an abundant number, since it is smaller than the sum of its proper divisors (158131112592).

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

51108447600 is a wasteful number, since it uses less digits than its factorization.

51108447600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65485 (or 65471 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 51108447600 in words is "fifty-one billion, one hundred eight million, four hundred forty-seven thousand, six hundred".