54239387400 has 1152 divisors, whose sum is σ = 229766544000. Its totient is φ = 11678515200.

The previous prime is 54239387357. The next prime is 54239387413. The reversal of 54239387400 is 478393245.

54239387400 is a `hidden beast` number, since 5 + 4 + 239 + 3 + 8 + 7 + 400 = 666.

It is a super-2 number, since 2×54239387400² (a number of 22 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211048072 + ... + 211048328.

It is an arithmetic number, because the mean of its divisors is an integer number (199450125).

Almost surely, 2^54239387400 is an apocalyptic number.

54239387400 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 54239387400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114883272000).

54239387400 is an abundant number, since it is smaller than the sum of its proper divisors (175527156600).

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

54239387400 is a wasteful number, since it uses less digits than its factorization.

54239387400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54239387400 in words is "fifty-four billion, two hundred thirty-nine million, three hundred eighty-seven thousand, four hundred".