53956106064 has 240 divisors, whose sum is σ = 192343582080. Its totient is φ = 13745479680.

The previous prime is 53956106063. The next prime is 53956106089. The reversal of 53956106064 is 46060165935.

53956106064 is a `hidden beast` number, since 5 + 39 + 5 + 6 + 1 + 0 + 606 + 4 = 666.

It is a super-2 number, since 2×53956106064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53956106063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242724 + ... + 408444.

It is an arithmetic number, because the mean of its divisors is an integer number (801431592).

Almost surely, 2^53956106064 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 53956106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96171791040).

53956106064 is an abundant number, since it is smaller than the sum of its proper divisors (138387476016).

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

53956106064 is a wasteful number, since it uses less digits than its factorization.

53956106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165778 (or 165769 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 53956106064 in words is "fifty-three billion, nine hundred fifty-six million, one hundred six thousand, sixty-four".