53572441063680 has 2880 divisors, whose sum is σ = 249053289408000. Its totient is φ = 10669066813440.

The previous prime is 53572441063643. The next prime is 53572441063703. The reversal of 53572441063680 is 8636014427535.

53572441063680 is a `hidden beast` number, since 5 + 3 + 572 + 4 + 4 + 1 + 0 + 6 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 34496097784 + ... + 34496099336.

It is an arithmetic number, because the mean of its divisors is an integer number (86476836600).

Almost surely, 2^{53572441063680} 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 53572441063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124526644704000).

53572441063680 is an abundant number, since it is smaller than the sum of its proper divisors (195480848344320).

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

53572441063680 is a wasteful number, since it uses less digits than its factorization.

53572441063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 53572441063680 in words is "fifty-three trillion, five hundred seventy-two billion, four hundred forty-one million, sixty-three thousand, six hundred eighty".