51313402024000 has 448 divisors, whose sum is σ = 133868758383360. Its totient is φ = 19456406323200.

The previous prime is 51313402023997. The next prime is 51313402024037. The reversal of 51313402024000 is 42020431315.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4772002624 + ... + 4772013376.

It is an arithmetic number, because the mean of its divisors is an integer number (298814192820).

Almost surely, 2^{51313402024000} is an apocalyptic number.

51313402024000 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 51313402024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66934379191680).

51313402024000 is an abundant number, since it is smaller than the sum of its proper divisors (82555356359360).

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

51313402024000 is a wasteful number, since it uses less digits than its factorization.

51313402024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11183 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 51313402024000 its reverse (42020431315), we get a palindrome (51355422455315).

The spelling of 51313402024000 in words is "fifty-one trillion, three hundred thirteen billion, four hundred two million, twenty-four thousand".