53673984000 has 960 divisors, whose sum is σ = 238169131200. Its totient is φ = 11324620800.

The previous prime is 53673983999. The next prime is 53673984011. The reversal of 53673984000 is 48937635.

53673984000 is a `hidden beast` number, since 536 + 7 + 39 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4128767994 + ... + 4128768006.

It is an arithmetic number, because the mean of its divisors is an integer number (248092845).

Almost surely, 2^53673984000 is an apocalyptic number.

53673984000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53673984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119084565600).

53673984000 is an abundant number, since it is smaller than the sum of its proper divisors (184495147200).

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

53673984000 is an frugal number, since it uses more digits than its factorization.

53673984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 53673984000 in words is "fifty-three billion, six hundred seventy-three million, nine hundred eighty-four thousand".