51814400000 has 408 divisors, whose sum is σ = 147445437888. Its totient is φ = 18022400000.

The previous prime is 51814399991. The next prime is 51814400009. The reversal of 51814400000 is 441815.

It is an interprime number because it is at equal distance from previous prime (51814399991) and next prime (51814400009).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (51814400009) 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, 2252799989 + ... + 2252800011.

Almost surely, 2^51814400000 is an apocalyptic number.

51814400000 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 51814400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73722718944).

51814400000 is an abundant number, since it is smaller than the sum of its proper divisors (95631037888).

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

51814400000 is an frugal number, since it uses more digits than its factorization.

51814400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 51814400000 its reverse (441815), we get a palindrome (51814841815).

The spelling of 51814400000 in words is "fifty-one billion, eight hundred fourteen million, four hundred thousand".