51647853600 has 432 divisors, whose sum is σ = 208802385792. Its totient is φ = 11767726080.

The previous prime is 51647853581. The next prime is 51647853613. The reversal of 51647853600 is 635874615.

51647853600 is a `hidden beast` number, since 51 + 64 + 7 + 8 + 536 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17789749 + ... + 17792651.

It is an arithmetic number, because the mean of its divisors is an integer number (483338856).

Almost surely, 2^51647853600 is an apocalyptic number.

51647853600 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 51647853600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104401192896).

51647853600 is an abundant number, since it is smaller than the sum of its proper divisors (157154532192).

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

51647853600 is a wasteful number, since it uses less digits than its factorization.

51647853600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 51647853600 in words is "fifty-one billion, six hundred forty-seven million, eight hundred fifty-three thousand, six hundred".