54023008596480 has 3840 divisors, whose sum is σ = 258432859238400. Its totient is φ = 10547928760320.

The previous prime is 54023008596463. The next prime is 54023008596527. The reversal of 54023008596480 is 8469580032045.

54023008596480 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 3 + 0 + 0 + 8 + 596 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 118212272412 + ... + 118212272868.

It is an arithmetic number, because the mean of its divisors is an integer number (67300223760).

Almost surely, 2^{54023008596480} 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 54023008596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129216429619200).

54023008596480 is an abundant number, since it is smaller than the sum of its proper divisors (204409850641920).

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

54023008596480 is a wasteful number, since it uses less digits than its factorization.

54023008596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 54023008596480 in words is "fifty-four trillion, twenty-three billion, eight million, five hundred ninety-six thousand, four hundred eighty".