51868512000 has 360 divisors, whose sum is σ = 193028467632. Its totient is φ = 13830912000.

The previous prime is 51868511971. The next prime is 51868512001. The reversal of 51868512000 is 21586815.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51868512001) 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, 2581995 + ... + 2602005.

Almost surely, 2^51868512000 is an apocalyptic number.

51868512000 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 51868512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96514233816).

51868512000 is an abundant number, since it is smaller than the sum of its proper divisors (141159955632).

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

51868512000 is an equidigital number, since it uses as much as digits as its factorization.

51868512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20021 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 51868512000 in words is "fifty-one billion, eight hundred sixty-eight million, five hundred twelve thousand".