51301785600 has 504 divisors, whose sum is σ = 197991241812. Its totient is φ = 12622233600.

The previous prime is 51301785593. The next prime is 51301785629. The reversal of 51301785600 is 658710315.

51301785600 is a `hidden beast` number, since 5 + 1 + 30 + 17 + 8 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 22948614144 + 28353171456 = 151488^2 + 168384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23960530 + ... + 23962670.

Almost surely, 2^51301785600 is an apocalyptic number.

51301785600 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 51301785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98995620906).

51301785600 is an abundant number, since it is smaller than the sum of its proper divisors (146689456212).

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

51301785600 is a wasteful number, since it uses less digits than its factorization.

51301785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 51301785600 in words is "fifty-one billion, three hundred one million, seven hundred eighty-five thousand, six hundred".