51031350242400 has 288 divisors, whose sum is σ = 181336424976000. Its totient is φ = 12362447257600.

The previous prime is 51031350242393. The next prime is 51031350242429. The reversal of 51031350242400 is 424205313015.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36511651 + ... + 37883549.

It is an arithmetic number, because the mean of its divisors is an integer number (629640364500).

Almost surely, 2^{51031350242400} is an apocalyptic number.

51031350242400 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 51031350242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90668212488000).

51031350242400 is an abundant number, since it is smaller than the sum of its proper divisors (130305074733600).

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

51031350242400 is a wasteful number, since it uses less digits than its factorization.

51031350242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373342 (or 1373329 counting only the distinct ones).

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

Adding to 51031350242400 its reverse (424205313015), we get a palindrome (51455555555415).

The spelling of 51031350242400 in words is "fifty-one trillion, thirty-one billion, three hundred fifty million, two hundred forty-two thousand, four hundred".