51948004680 has 768 divisors, whose sum is σ = 204340631040. Its totient is φ = 11280384000.

The previous prime is 51948004663. The next prime is 51948004739. The reversal of 51948004680 is 8640084915.

51948004680 is a `hidden beast` number, since 51 + 9 + 480 + 0 + 46 + 80 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 191 ways as a sum of consecutive naturals, for example, 504349509 + ... + 504349611.

It is an arithmetic number, because the mean of its divisors is an integer number (266068530).

Almost surely, 2^51948004680 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 51948004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102170315520).

51948004680 is an abundant number, since it is smaller than the sum of its proper divisors (152392626360).

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

51948004680 is a wasteful number, since it uses less digits than its factorization.

51948004680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 51948004680 in words is "fifty-one billion, nine hundred forty-eight million, four thousand, six hundred eighty".