51629326081536 has 640 divisors, whose sum is σ = 160403990630400. Its totient is φ = 14453330411520.

The previous prime is 51629326081511. The next prime is 51629326081589. The reversal of 51629326081536 is 63518062392615.

It is a happy number.

It is a super-2 number, since 2×51629326081536² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 122634978606 + ... + 122634979026.

It is an arithmetic number, because the mean of its divisors is an integer number (250631235360).

Almost surely, 2^{51629326081536} is an apocalyptic number.

51629326081536 is a gapful number since it is divisible by the number (56) 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 51629326081536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80201995315200).

51629326081536 is an abundant number, since it is smaller than the sum of its proper divisors (108774664548864).

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

51629326081536 is a wasteful number, since it uses less digits than its factorization.

51629326081536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 51629326081536 in words is "fifty-one trillion, six hundred twenty-nine billion, three hundred twenty-six million, eighty-one thousand, five hundred thirty-six".