51018240000 has 1040 divisors, whose sum is σ = 212079012992. Its totient is φ = 10616832000.

The previous prime is 51018239999. The next prime is 51018240001. The reversal of 51018240000 is 4281015.

It is an interprime number because it is at equal distance from previous prime (51018239999) and next prime (51018240001).

It is a tau number, because it is divible by the number of its divisors (1040).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (51018240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 698879964 + ... + 698880036.

Almost surely, 2^51018240000 is an apocalyptic number.

51018240000 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 51018240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106039506496).

51018240000 is an abundant number, since it is smaller than the sum of its proper divisors (161060772992).

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

51018240000 is an equidigital number, since it uses as much as digits as its factorization.

51018240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The spelling of 51018240000 in words is "fifty-one billion, eighteen million, two hundred forty thousand".