54023083968 has 336 divisors, whose sum is σ = 170526285312. Its totient is φ = 14784768000.

The previous prime is 54023083967. The next prime is 54023083979. The reversal of 54023083968 is 86938032045.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54023083967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195029046 + ... + 195029322.

Almost surely, 2^54023083968 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 54023083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85263142656).

54023083968 is an abundant number, since it is smaller than the sum of its proper divisors (116503201344).

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

54023083968 is a wasteful number, since it uses less digits than its factorization.

54023083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 54023083968 in words is "fifty-four billion, twenty-three million, eighty-three thousand, nine hundred sixty-eight".