54003821256 has 512 divisors, whose sum is σ = 198941184000. Its totient is φ = 13141094400.

The previous prime is 54003821251. The next prime is 54003821279. The reversal of 54003821256 is 65212830045.

54003821256 is a `hidden beast` number, since 5 + 400 + 38 + 212 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54003821256.

It is not an unprimeable number, because it can be changed into a prime (54003821251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109987171 + ... + 109987661.

It is an arithmetic number, because the mean of its divisors is an integer number (388557000).

Almost surely, 2^54003821256 is an apocalyptic number.

54003821256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54003821256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99470592000).

54003821256 is an abundant number, since it is smaller than the sum of its proper divisors (144937362744).

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

54003821256 is a wasteful number, since it uses less digits than its factorization.

54003821256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

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

The spelling of 54003821256 in words is "fifty-four billion, three million, eight hundred twenty-one thousand, two hundred fifty-six".