51432415320000 has 560 divisors, whose sum is σ = 199776228043392. Its totient is φ = 11509347840000.

The previous prime is 51432415319993. The next prime is 51432415320053. The reversal of 51432415320000 is 2351423415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 51432415320000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15661387 + ... + 18658613.

Almost surely, 2^{51432415320000} is an apocalyptic number.

51432415320000 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 51432415320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99888114021696).

51432415320000 is an abundant number, since it is smaller than the sum of its proper divisors (148343812723392).

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

51432415320000 is a wasteful number, since it uses less digits than its factorization.

51432415320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997286 (or 2997261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 51432415320000 its reverse (2351423415), we get a palindrome (51434766743415).

The spelling of 51432415320000 in words is "fifty-one trillion, four hundred thirty-two billion, four hundred fifteen million, three hundred twenty thousand".