51630701760 has 672 divisors, whose sum is σ = 205753167360. Its totient is φ = 11759616000.

The previous prime is 51630701753. The next prime is 51630701797. The reversal of 51630701760 is 6710703615.

51630701760 is a `hidden beast` number, since 5 + 1 + 630 + 7 + 0 + 17 + 6 + 0 = 666.

It is a super-3 number, since 3×51630701760³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42989160 + ... + 42990360.

Almost surely, 2^51630701760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51630701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876583680).

51630701760 is an abundant number, since it is smaller than the sum of its proper divisors (154122465600).

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

51630701760 is a wasteful number, since it uses less digits than its factorization.

51630701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The spelling of 51630701760 in words is "fifty-one billion, six hundred thirty million, seven hundred one thousand, seven hundred sixty".