53720561664 has 1152 divisors, whose sum is σ = 211928371200. Its totient is φ = 13138329600.

The previous prime is 53720561621. The next prime is 53720561683. The reversal of 53720561664 is 46616502735.

53720561664 is a `hidden beast` number, since 5 + 3 + 7 + 20 + 5 + 616 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1451907054 + ... + 1451907090.

It is an arithmetic number, because the mean of its divisors is an integer number (183965600).

Almost surely, 2^53720561664 is an apocalyptic number.

53720561664 is a gapful number since it is divisible by the number (54) 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 53720561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105964185600).

53720561664 is an abundant number, since it is smaller than the sum of its proper divisors (158207809536).

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

53720561664 is a wasteful number, since it uses less digits than its factorization.

53720561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 53720561664 in words is "fifty-three billion, seven hundred twenty million, five hundred sixty-one thousand, six hundred sixty-four".