54927808320 has 1344 divisors, whose sum is σ = 240839792640. Its totient is φ = 10450944000.

The previous prime is 54927808319. The next prime is 54927808337. The reversal of 54927808320 is 2380872945.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×54927808320² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54927808320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 363760245 + ... + 363760395.

Almost surely, 2^54927808320 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 54927808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120419896320).

54927808320 is an abundant number, since it is smaller than the sum of its proper divisors (185911984320).

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

54927808320 is a wasteful number, since it uses less digits than its factorization.

54927808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 54927808320 in words is "fifty-four billion, nine hundred twenty-seven million, eight hundred eight thousand, three hundred twenty".