65056512957408 has 384 divisors, whose sum is σ = 222745764003840. Its totient is φ = 18082790645760.

The previous prime is 65056512957361. The next prime is 65056512957413. The reversal of 65056512957408 is 80475921565056.

65056512957408 is a `hidden beast` number, since 6 + 5 + 0 + 5 + 6 + 51 + 2 + 9 + 574 + 0 + 8 = 666.

65056512957408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2262584760 + ... + 2262613512.

It is an arithmetic number, because the mean of its divisors is an integer number (580067093760).

Almost surely, 2^{65056512957408} 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 65056512957408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111372882001920).

65056512957408 is an abundant number, since it is smaller than the sum of its proper divisors (157689251046432).

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

65056512957408 is a wasteful number, since it uses less digits than its factorization.

65056512957408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38927 (or 38913 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 65056512957408 in words is "sixty-five trillion, fifty-six billion, five hundred twelve million, nine hundred fifty-seven thousand, four hundred eight".