51550629120 has 720 divisors, whose sum is σ = 195358259712. Its totient is φ = 12959170560.

The previous prime is 51550629113. The next prime is 51550629121. The reversal of 51550629120 is 2192605515.

51550629120 is a `hidden beast` number, since 5 + 1 + 5 + 5 + 0 + 629 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (51550629121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 138205254 + ... + 138205626.

Almost surely, 2^51550629120 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 51550629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97679129856).

51550629120 is an abundant number, since it is smaller than the sum of its proper divisors (143807630592).

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

51550629120 is a wasteful number, since it uses less digits than its factorization.

51550629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 51550629120 in words is "fifty-one billion, five hundred fifty million, six hundred twenty-nine thousand, one hundred twenty".