54726386400 has 1440 divisors, whose sum is σ = 248276109312. Its totient is φ = 11446272000.

The previous prime is 54726386381. The next prime is 54726386459. The reversal of 54726386400 is 468362745.

54726386400 is a `hidden beast` number, since 5 + 4 + 7 + 2 + 638 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 239 ways as a sum of consecutive naturals, for example, 362426325 + ... + 362426475.

Almost surely, 2^54726386400 is an apocalyptic number.

54726386400 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 54726386400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124138054656).

54726386400 is an abundant number, since it is smaller than the sum of its proper divisors (193549722912).

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

54726386400 is a wasteful number, since it uses less digits than its factorization.

54726386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 54726386400 in words is "fifty-four billion, seven hundred twenty-six million, three hundred eighty-six thousand, four hundred".