54126263822400 has 6048 divisors, whose sum is σ = 264611947751424. Its totient is φ = 10247897088000.

The previous prime is 54126263822377. The next prime is 54126263822429. The reversal of 54126263822400 is 422836262145.

It is a happy number.

54126263822400 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 6 + 2 + 638 + 2 + 2 + 4 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 741455668764 + ... + 741455668836.

It is an arithmetic number, because the mean of its divisors is an integer number (43751975488).

Almost surely, 2^{54126263822400} is an apocalyptic number.

54126263822400 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 54126263822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132305973875712).

54126263822400 is an abundant number, since it is smaller than the sum of its proper divisors (210485683929024).

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

54126263822400 is a wasteful number, since it uses less digits than its factorization.

54126263822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

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

The spelling of 54126263822400 in words is "fifty-four trillion, one hundred twenty-six billion, two hundred sixty-three million, eight hundred twenty-two thousand, four hundred".