51632442451312 has 80 divisors (see below), whose sum is σ = 106228354789440. Its totient is φ = 24227540619264.

The previous prime is 51632442451297. The next prime is 51632442451319. The reversal of 51632442451312 is 21315424423615.

It is a happy number.

It is a super-2 number, since 2×51632442451312² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51632442451319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139046758 + ... + 139417594.

It is an arithmetic number, because the mean of its divisors is an integer number (1327854434868).

Almost surely, 2^{51632442451312} 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 51632442451312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53114177394720).

51632442451312 is an abundant number, since it is smaller than the sum of its proper divisors (54595912338128).

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

51632442451312 is a wasteful number, since it uses less digits than its factorization.

51632442451312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372338 (or 372332 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

Adding to 51632442451312 its reverse (21315424423615), we get a palindrome (72947866874927).

The spelling of 51632442451312 in words is "fifty-one trillion, six hundred thirty-two billion, four hundred forty-two million, four hundred fifty-one thousand, three hundred twelve".