51214517200 has 240 divisors, whose sum is σ = 158355578880. Its totient is φ = 15447744000.

The previous prime is 51214517183. The next prime is 51214517219. The reversal of 51214517200 is 271541215.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927981 + ... + 981619.

It is an arithmetic number, because the mean of its divisors is an integer number (659814912).

Almost surely, 2^51214517200 is an apocalyptic number.

51214517200 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 51214517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79177789440).

51214517200 is an abundant number, since it is smaller than the sum of its proper divisors (107141061680).

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

51214517200 is a wasteful number, since it uses less digits than its factorization.

51214517200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53706 (or 53695 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 51214517200 in words is "fifty-one billion, two hundred fourteen million, five hundred seventeen thousand, two hundred".