51327924480 has 720 divisors, whose sum is σ = 211551056640. Its totient is φ = 11640029184.

The previous prime is 51327924463. The next prime is 51327924497. The reversal of 51327924480 is 8442972315.

51327924480 is a `hidden beast` number, since 5 + 1 + 327 + 9 + 244 + 80 = 666.

51327924480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51327924463) and next prime (51327924497).

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 142974541 + ... + 142974899.

It is an arithmetic number, because the mean of its divisors is an integer number (293820912).

Almost surely, 2^51327924480 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 51327924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105775528320).

51327924480 is an abundant number, since it is smaller than the sum of its proper divisors (160223132160).

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

51327924480 is a wasteful number, since it uses less digits than its factorization.

51327924480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51327924480 in words is "fifty-one billion, three hundred twenty-seven million, nine hundred twenty-four thousand, four hundred eighty".