51649358745600 has 3744 divisors, whose sum is σ = 251233093862400. Its totient is φ = 10077496934400.

The previous prime is 51649358745599. The next prime is 51649358745613. The reversal of 51649358745600 is 654785394615.

It is a happy number.

51649358745600 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 9 + 3 + 587 + 45 + 6 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 457073971144 + ... + 457073971256.

Almost surely, 2^{51649358745600} is an apocalyptic number.

51649358745600 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 51649358745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125616546931200).

51649358745600 is an abundant number, since it is smaller than the sum of its proper divisors (199583735116800).

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

51649358745600 is a wasteful number, since it uses less digits than its factorization.

51649358745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 51649358745600 in words is "fifty-one trillion, six hundred forty-nine billion, three hundred fifty-eight million, seven hundred forty-five thousand, six hundred".