51234768000 has 640 divisors, whose sum is σ = 204992227440. Its totient is φ = 12607488000.

The previous prime is 51234767999. The next prime is 51234768023. The reversal of 51234768000 is 86743215.

It can be written as a sum of positive squares in 8 ways, for example, as 4609866816 + 46624901184 = 67896^2 + 215928^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16846480 + ... + 16849520.

Almost surely, 2^51234768000 is an apocalyptic number.

51234768000 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 51234768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102496113720).

51234768000 is an abundant number, since it is smaller than the sum of its proper divisors (153757459440).

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

51234768000 is a wasteful number, since it uses less digits than its factorization.

51234768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 51234768000 in words is "fifty-one billion, two hundred thirty-four million, seven hundred sixty-eight thousand".