54227591321400 has 1536 divisors, whose sum is σ = 232853667840000. Its totient is φ = 11327840409600.

The previous prime is 54227591321347. The next prime is 54227591321401. The reversal of 54227591321400 is 412319572245.

54227591321400 is a `hidden beast` number, since 5 + 4 + 2 + 27 + 591 + 32 + 1 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54227591321401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2129147866 + ... + 2129173334.

It is an arithmetic number, because the mean of its divisors is an integer number (151597440000).

Almost surely, 2^{54227591321400} is an apocalyptic number.

54227591321400 is a gapful number since it is divisible by the number (50) 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 54227591321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116426833920000).

54227591321400 is an abundant number, since it is smaller than the sum of its proper divisors (178626076518600).

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

54227591321400 is a wasteful number, since it uses less digits than its factorization.

54227591321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25619 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 54227591321400 in words is "fifty-four trillion, two hundred twenty-seven billion, five hundred ninety-one million, three hundred twenty-one thousand, four hundred".