53953880064 has 448 divisors, whose sum is σ = 173398720512. Its totient is φ = 14598144000.

The previous prime is 53953880041. The next prime is 53953880077. The reversal of 53953880064 is 46008835935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×53953880064² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 53953879989 and 53953880016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357310389 + ... + 357310539.

Almost surely, 2^53953880064 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 53953880064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86699360256).

53953880064 is an abundant number, since it is smaller than the sum of its proper divisors (119444840448).

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

53953880064 is a wasteful number, since it uses less digits than its factorization.

53953880064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 53953880064 in words is "fifty-three billion, nine hundred fifty-three million, eight hundred eighty thousand, sixty-four".