51705092200 has 96 divisors (see below), whose sum is σ = 124652021760. Its totient is φ = 19924588800.

The previous prime is 51705092149. The next prime is 51705092213. The reversal of 51705092200 is 229050715.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363902 + ... + 1401298.

It is an arithmetic number, because the mean of its divisors is an integer number (1298458560).

Almost surely, 2^51705092200 is an apocalyptic number.

51705092200 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 51705092200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62326010880).

51705092200 is an abundant number, since it is smaller than the sum of its proper divisors (72946929560).

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

51705092200 is a wasteful number, since it uses less digits than its factorization.

51705092200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37667 (or 37658 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

The spelling of 51705092200 in words is "fifty-one billion, seven hundred five million, ninety-two thousand, two hundred".