53318409984 has 324 divisors, whose sum is σ = 183206499840. Its totient is φ = 14860984320.

The previous prime is 53318409971. The next prime is 53318410001. The reversal of 53318409984 is 48990481335.

53318409984 is a `hidden beast` number, since 533 + 18 + 4 + 0 + 9 + 98 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 53318409984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4622977 + ... + 4634495.

It is an arithmetic number, because the mean of its divisors is an integer number (565452160).

Almost surely, 2^53318409984 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 53318409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91603249920).

53318409984 is an abundant number, since it is smaller than the sum of its proper divisors (129888089856).

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

53318409984 is a wasteful number, since it uses less digits than its factorization.

53318409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11596 (or 11572 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 53318409984 in words is "fifty-three billion, three hundred eighteen million, four hundred nine thousand, nine hundred eighty-four".