54068152320 has 1152 divisors, whose sum is σ = 241556515200. Its totient is φ = 11370627072.

The previous prime is 54068152319. The next prime is 54068152321. The reversal of 54068152320 is 2325186045.

54068152320 is a `hidden beast` number, since 5 + 406 + 8 + 15 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54068152319) and next prime (54068152321).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54068152321) 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 95 ways as a sum of consecutive naturals, for example, 176117607 + ... + 176117913.

It is an arithmetic number, because the mean of its divisors is an integer number (209684475).

Almost surely, 2^54068152320 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 54068152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120778257600).

54068152320 is an abundant number, since it is smaller than the sum of its proper divisors (187488362880).

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

54068152320 is a wasteful number, since it uses less digits than its factorization.

54068152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54068152320 in words is "fifty-four billion, sixty-eight million, one hundred fifty-two thousand, three hundred twenty".