51512435040000 has 720 divisors, whose sum is σ = 187306522026624. Its totient is φ = 12460185600000.

The previous prime is 51512435039987. The next prime is 51512435040041. The reversal of 51512435040000 is 4053421515.

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 51512435040000.

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, 2434069419 + ... + 2434090581.

Almost surely, 2^{51512435040000} is an apocalyptic number.

51512435040000 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 51512435040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93653261013312).

51512435040000 is an abundant number, since it is smaller than the sum of its proper divisors (135794086986624).

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

51512435040000 is a wasteful number, since it uses less digits than its factorization.

51512435040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21674 (or 21645 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 51512435040000 its reverse (4053421515), we get a palindrome (51516488461515).

The spelling of 51512435040000 in words is "fifty-one trillion, five hundred twelve billion, four hundred thirty-five million, forty thousand".