51430364400 has 240 divisors, whose sum is σ = 172193978880. Its totient is φ = 13096934400.

The previous prime is 51430364399. The next prime is 51430364411. The reversal of 51430364400 is 446303415.

It is a tau number, because it is divible by the number of its divisors (240).

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, 23155290 + ... + 23157510.

It is an arithmetic number, because the mean of its divisors is an integer number (717474912).

Almost surely, 2^51430364400 is an apocalyptic number.

51430364400 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 51430364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86096989440).

51430364400 is an abundant number, since it is smaller than the sum of its proper divisors (120763614480).

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

51430364400 is a wasteful number, since it uses less digits than its factorization.

51430364400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3104 (or 3093 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 51430364400 its reverse (446303415), we get a palindrome (51876667815).

The spelling of 51430364400 in words is "fifty-one billion, four hundred thirty million, three hundred sixty-four thousand, four hundred".