51342004224 has 312 divisors, whose sum is σ = 175790655040. Its totient is φ = 14667153408.

The previous prime is 51342004211. The next prime is 51342004229. The reversal of 51342004224 is 42240024315.

51342004224 is a `hidden beast` number, since 5 + 1 + 34 + 200 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51342004229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6963612 + ... + 6970980.

Almost surely, 2^51342004224 is an apocalyptic number.

51342004224 is a gapful number since it is divisible by the number (54) 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 51342004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87895327520).

51342004224 is an abundant number, since it is smaller than the sum of its proper divisors (124448650816).

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

51342004224 is an frugal number, since it uses more digits than its factorization.

51342004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7381 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 51342004224 its reverse (42240024315), we get a palindrome (93582028539).

The spelling of 51342004224 in words is "fifty-one billion, three hundred forty-two million, four thousand, two hundred twenty-four".