51047193600 has 1584 divisors, whose sum is σ = 222962515200. Its totient is φ = 11386552320.

The previous prime is 51047193599. The next prime is 51047193601. The reversal of 51047193600 is 639174015.

51047193600 is a `hidden beast` number, since 5 + 1 + 0 + 47 + 1 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (51047193599) and next prime (51047193601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51047193601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2219443189 + ... + 2219443211.

Almost surely, 2^51047193600 is an apocalyptic number.

51047193600 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 51047193600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111481257600).

51047193600 is an abundant number, since it is smaller than the sum of its proper divisors (171915321600).

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

51047193600 is a wasteful number, since it uses less digits than its factorization.

51047193600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 51047193600 in words is "fifty-one billion, forty-seven million, one hundred ninety-three thousand, six hundred".