51363840000 has 720 divisors, whose sum is σ = 196544335680. Its totient is φ = 11796480000.

The previous prime is 51363839987. The next prime is 51363840007. The reversal of 51363840000 is 4836315.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51363840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51363840007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2703359991 + ... + 2703360009.

It is an arithmetic number, because the mean of its divisors is an integer number (272978244).

Almost surely, 2^51363840000 is an apocalyptic number.

51363840000 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 51363840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98272167840).

51363840000 is an abundant number, since it is smaller than the sum of its proper divisors (145180495680).

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

51363840000 is an frugal number, since it uses more digits than its factorization.

51363840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 51363840000 in words is "fifty-one billion, three hundred sixty-three million, eight hundred forty thousand".