51770842200 has 1200 divisors, whose sum is σ = 230723859960. Its totient is φ = 10757577600.

The previous prime is 51770842171. The next prime is 51770842217. The reversal of 51770842200 is 224807715.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5775 × 1617 × 5544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 4706440195 + ... + 4706440205.

Almost surely, 2^51770842200 is an apocalyptic number.

51770842200 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 51770842200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115361929980).

51770842200 is an abundant number, since it is smaller than the sum of its proper divisors (178953017760).

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

51770842200 is an equidigital number, since it uses as much as digits as its factorization.

51770842200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 51770842200 in words is "fifty-one billion, seven hundred seventy million, eight hundred forty-two thousand, two hundred".