54318475430400 has 480 divisors, whose sum is σ = 191223288926208. Its totient is φ = 13560346624000.

The previous prime is 54318475430393. The next prime is 54318475430413. The reversal of 54318475430400 is 403457481345.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54318475430400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40856125 + ... + 42164675.

Almost surely, 2^{54318475430400} is an apocalyptic number.

54318475430400 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 54318475430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95611644463104).

54318475430400 is an abundant number, since it is smaller than the sum of its proper divisors (136904813495808).

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

54318475430400 is a wasteful number, since it uses less digits than its factorization.

54318475430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308652 (or 1308631 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 48.

The spelling of 54318475430400 in words is "fifty-four trillion, three hundred eighteen billion, four hundred seventy-five million, four hundred thirty thousand, four hundred".