53564751968 has 384 divisors, whose sum is σ = 141740928000. Its totient is φ = 19339223040.

The previous prime is 53564751959. The next prime is 53564751991. The reversal of 53564751968 is 86915746535.

It is a happy number.

It is a super-3 number, since 3×53564751968³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199125338 + ... + 199125606.

It is an arithmetic number, because the mean of its divisors is an integer number (369117000).

Almost surely, 2^53564751968 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 53564751968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464000).

53564751968 is an abundant number, since it is smaller than the sum of its proper divisors (88176176032).

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

53564751968 is a wasteful number, since it uses less digits than its factorization.

53564751968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 59.

The spelling of 53564751968 in words is "fifty-three billion, five hundred sixty-four million, seven hundred fifty-one thousand, nine hundred sixty-eight".