54356776320 has 256 divisors, whose sum is σ = 216015828480. Its totient is φ = 11294883840.

The previous prime is 54356776319. The next prime is 54356776337. The reversal of 54356776320 is 2367765345.

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 54356776320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 35997 + ... + 331676.

It is an arithmetic number, because the mean of its divisors is an integer number (843811830).

Almost surely, 2^54356776320 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 54356776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108007914240).

54356776320 is an abundant number, since it is smaller than the sum of its proper divisors (161659052160).

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

54356776320 is a wasteful number, since it uses less digits than its factorization.

54356776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367713 (or 367701 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 48.

The spelling of 54356776320 in words is "fifty-four billion, three hundred fifty-six million, seven hundred seventy-six thousand, three hundred twenty".