53441685648000 has 1152 divisors, whose sum is σ = 209212040194560. Its totient is φ = 13066859520000.

The previous prime is 53441685647897. The next prime is 53441685648011. The reversal of 53441685648000 is 84658614435.

53441685648000 is a `hidden beast` number, since 5 + 3 + 441 + 68 + 5 + 64 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 3674728729 + ... + 3674743271.

It is an arithmetic number, because the mean of its divisors is an integer number (181607673780).

Almost surely, 2^{53441685648000} is an apocalyptic number.

53441685648000 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 53441685648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606020097280).

53441685648000 is an abundant number, since it is smaller than the sum of its proper divisors (155770354546560).

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

53441685648000 is a wasteful number, since it uses less digits than its factorization.

53441685648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14755 (or 14717 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 53441685648000 in words is "fifty-three trillion, four hundred forty-one billion, six hundred eighty-five million, six hundred forty-eight thousand".