51551535664200 has 768 divisors, whose sum is σ = 191740715308800. Its totient is φ = 11293286400000.

The previous prime is 51551535664199. The next prime is 51551535664207. The reversal of 51551535664200 is 246653515515.

It is a self number, because there is not a number n which added to its sum of digits gives 51551535664200.

It is not an unprimeable number, because it can be changed into a prime (51551535664207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 771222780 + ... + 771289620.

It is an arithmetic number, because the mean of its divisors is an integer number (249662389725).

Almost surely, 2^{51551535664200} is an apocalyptic number.

51551535664200 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 51551535664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95870357654400).

51551535664200 is an abundant number, since it is smaller than the sum of its proper divisors (140189179644600).

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

51551535664200 is a wasteful number, since it uses less digits than its factorization.

51551535664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67074 (or 67065 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 51551535664200 in words is "fifty-one trillion, five hundred fifty-one billion, five hundred thirty-five million, six hundred sixty-four thousand, two hundred".