53723479968 has 288 divisors, whose sum is σ = 167959733760. Its totient is φ = 16213155840.

The previous prime is 53723479949. The next prime is 53723480003. The reversal of 53723479968 is 86997432735.

53723479968 is a `hidden beast` number, since 5 + 3 + 72 + 3 + 479 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52107613 + ... + 52108643.

It is an arithmetic number, because the mean of its divisors is an integer number (583193520).

Almost surely, 2^53723479968 is an apocalyptic number.

53723479968 is a gapful number since it is divisible by the number (58) 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 53723479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83979866880).

53723479968 is an abundant number, since it is smaller than the sum of its proper divisors (114236253792).

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

53723479968 is a wasteful number, since it uses less digits than its factorization.

53723479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 53723479968 in words is "fifty-three billion, seven hundred twenty-three million, four hundred seventy-nine thousand, nine hundred sixty-eight".