51634188816500 has 96 divisors (see below), whose sum is σ = 119448150625440. Its totient is φ = 19431328512000.

The previous prime is 51634188816481. The next prime is 51634188816541. The reversal of 51634188816500 is 561888143615.

It can be written as a sum of positive squares in 16 ways, for example, as 30370636033936 + 21263552782564 = 5510956^2 + 4611242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21119666 + ... + 23437334.

It is an arithmetic number, because the mean of its divisors is an integer number (1244251569015).

Almost surely, 2^{51634188816500} is an apocalyptic number.

51634188816500 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 51634188816500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59724075312720).

51634188816500 is an abundant number, since it is smaller than the sum of its proper divisors (67813961808940).

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

51634188816500 is a wasteful number, since it uses less digits than its factorization.

51634188816500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2320326 (or 2320314 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 56.

The spelling of 51634188816500 in words is "fifty-one trillion, six hundred thirty-four billion, one hundred eighty-eight million, eight hundred sixteen thousand, five hundred".