51026414208 has 512 divisors, whose sum is σ = 176843520000. Its totient is φ = 12915302400.

The previous prime is 51026414149. The next prime is 51026414221. The reversal of 51026414208 is 80241462015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59401683 + ... + 59402541.

It is an arithmetic number, because the mean of its divisors is an integer number (345397500).

Almost surely, 2^51026414208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51026414208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88421760000).

51026414208 is an abundant number, since it is smaller than the sum of its proper divisors (125817105792).

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

51026414208 is a wasteful number, since it uses less digits than its factorization.

51026414208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 51026414208 in words is "fifty-one billion, twenty-six million, four hundred fourteen thousand, two hundred eight".