54368824320 has 352 divisors, whose sum is σ = 193839436800. Its totient is φ = 14451720192.

The previous prime is 54368824267. The next prime is 54368824331. The reversal of 54368824320 is 2342886345.

54368824320 is a `hidden beast` number, since 543 + 6 + 8 + 82 + 4 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75616921 + ... + 75617639.

Almost surely, 2^54368824320 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 54368824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96919718400).

54368824320 is an abundant number, since it is smaller than the sum of its proper divisors (139470612480).

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

54368824320 is a wasteful number, since it uses less digits than its factorization.

54368824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 54368824320 in words is "fifty-four billion, three hundred sixty-eight million, eight hundred twenty-four thousand, three hundred twenty".