51453609984 has 576 divisors, whose sum is σ = 181254528000. Its totient is φ = 13735526400.

The previous prime is 51453609967. The next prime is 51453610007. The reversal of 51453609984 is 48990635415.

51453609984 is a `hidden beast` number, since 5 + 14 + 536 + 0 + 9 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 51453609984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340752309 + ... + 340752459.

It is an arithmetic number, because the mean of its divisors is an integer number (314678000).

Almost surely, 2^51453609984 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 51453609984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90627264000).

51453609984 is an abundant number, since it is smaller than the sum of its proper divisors (129800918016).

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

51453609984 is a wasteful number, since it uses less digits than its factorization.

51453609984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 51453609984 in words is "fifty-one billion, four hundred fifty-three million, six hundred nine thousand, nine hundred eighty-four".