54102450230400 has 1536 divisors, whose sum is σ = 219770433792000. Its totient is φ = 11579315404800.

The previous prime is 54102450230369. The next prime is 54102450230417. The reversal of 54102450230400 is 403205420145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5336068531 + ... + 5336078669.

It is an arithmetic number, because the mean of its divisors is an integer number (143079709500).

Almost surely, 2^{54102450230400} is an apocalyptic number.

54102450230400 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 54102450230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885216896000).

54102450230400 is an abundant number, since it is smaller than the sum of its proper divisors (165667983561600).

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

54102450230400 is a wasteful number, since it uses less digits than its factorization.

54102450230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 54102450230400 its reverse (403205420145), we get a palindrome (54505655650545).

The spelling of 54102450230400 in words is "fifty-four trillion, one hundred two billion, four hundred fifty million, two hundred thirty thousand, four hundred".