51628148712 has 640 divisors, whose sum is σ = 178421760000. Its totient is φ = 13922616960.

The previous prime is 51628148701. The next prime is 51628148717. The reversal of 51628148712 is 21784182615.

51628148712 is a `hidden beast` number, since 5 + 1 + 628 + 1 + 4 + 8 + 7 + 12 = 666.

Its product of digits (215040) is a multiple of the sum of its prime factors (256).

It is not an unprimeable number, because it can be changed into a prime (51628148717) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 406520793 + ... + 406520919.

It is an arithmetic number, because the mean of its divisors is an integer number (278784000).

Almost surely, 2^51628148712 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 51628148712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89210880000).

51628148712 is an abundant number, since it is smaller than the sum of its proper divisors (126793611288).

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

51628148712 is a wasteful number, since it uses less digits than its factorization.

51628148712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 51628148712 in words is "fifty-one billion, six hundred twenty-eight million, one hundred forty-eight thousand, seven hundred twelve".