51032217600 has 864 divisors, whose sum is σ = 225125278560. Its totient is φ = 10758389760.

The previous prime is 51032217559. The next prime is 51032217611. The reversal of 51032217600 is 671223015.

It is a happy number.

51032217600 is a `hidden beast` number, since 5 + 1 + 0 + 32 + 21 + 7 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41932192 + ... + 41933408.

It is an arithmetic number, because the mean of its divisors is an integer number (260561665).

Almost surely, 2^51032217600 is an apocalyptic number.

51032217600 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 51032217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112562639280).

51032217600 is an abundant number, since it is smaller than the sum of its proper divisors (174093060960).

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

51032217600 is a wasteful number, since it uses less digits than its factorization.

51032217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 51032217600 in words is "fifty-one billion, thirty-two million, two hundred seventeen thousand, six hundred".