51004347763050 has 384 divisors, whose sum is σ = 161538268032000. Its totient is φ = 11703282796800.

The previous prime is 51004347763037. The next prime is 51004347763063. The reversal of 51004347763050 is 5036774340015.

51004347763050 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 4 + 3 + 4 + 7 + 7 + 630 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51004347763037) and next prime (51004347763063).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 51004347762987 and 51004347763005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312822849 + ... + 312985851.

It is an arithmetic number, because the mean of its divisors is an integer number (420672573000).

Almost surely, 2^{51004347763050} is an apocalyptic number.

51004347763050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51004347763050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80769134016000).

51004347763050 is an abundant number, since it is smaller than the sum of its proper divisors (110533920268950).

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

51004347763050 is a wasteful number, since it uses less digits than its factorization.

51004347763050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164163 (or 164152 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 51004347763050 in words is "fifty-one trillion, four billion, three hundred forty-seven million, seven hundred sixty-three thousand, fifty".