53984378448000 has 6912 divisors, whose sum is σ = 276302589937920. Its totient is φ = 10247897088000.

The previous prime is 53984378447977. The next prime is 53984378448017. The reversal of 53984378448000 is 84487348935.

53984378448000 is a `hidden beast` number, since 5 + 3 + 9 + 84 + 3 + 78 + 4 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 556539983952 + ... + 556539984048.

It is an arithmetic number, because the mean of its divisors is an integer number (39974333035).

Almost surely, 2^{53984378448000} is an apocalyptic number.

53984378448000 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 53984378448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138151294968960).

53984378448000 is an abundant number, since it is smaller than the sum of its proper divisors (222318211489920).

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

53984378448000 is a wasteful number, since it uses less digits than its factorization.

53984378448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 53984378448000 in words is "fifty-three trillion, nine hundred eighty-four billion, three hundred seventy-eight million, four hundred forty-eight thousand".