54130214400 has 240 divisors, whose sum is σ = 182196512784. Its totient is φ = 14161838080.

The previous prime is 54130214381. The next prime is 54130214401. The reversal of 54130214400 is 441203145.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×54130214400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54130214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2021902 + ... + 2048498.

Almost surely, 2^54130214400 is an apocalyptic number.

54130214400 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 54130214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91098256392).

54130214400 is an abundant number, since it is smaller than the sum of its proper divisors (128066298384).

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

54130214400 is a wasteful number, since it uses less digits than its factorization.

54130214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681 (or 26660 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54130214400 its reverse (441203145), we get a palindrome (54571417545).

The spelling of 54130214400 in words is "fifty-four billion, one hundred thirty million, two hundred fourteen thousand, four hundred".