51035102400 has 168 divisors, whose sum is σ = 168758087680. Its totient is φ = 13502039040.

The previous prime is 51035102387. The next prime is 51035102407. The reversal of 51035102400 is 420153015.

It is not an unprimeable number, because it can be changed into a prime (51035102407) 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, 567741 + ... + 651459.

Almost surely, 2^51035102400 is an apocalyptic number.

51035102400 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 51035102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84379043840).

51035102400 is an abundant number, since it is smaller than the sum of its proper divisors (117722985280).

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

51035102400 is a wasteful number, since it uses less digits than its factorization.

51035102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83871 (or 83856 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

Adding to 51035102400 its reverse (420153015), we get a palindrome (51455255415).

The spelling of 51035102400 in words is "fifty-one billion, thirty-five million, one hundred two thousand, four hundred".