54343473206400 has 1728 divisors, whose sum is σ = 227983235014080. Its totient is φ = 12289210859520.

The previous prime is 54343473206389. The next prime is 54343473206447. The reversal of 54343473206400 is 460237434345.

54343473206400 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 34 + 7 + 3 + 206 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 69051426807 + ... + 69051427593.

It is an arithmetic number, because the mean of its divisors is an integer number (131934742485).

Almost surely, 2^{54343473206400} is an apocalyptic number.

54343473206400 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 54343473206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113991617507040).

54343473206400 is an abundant number, since it is smaller than the sum of its proper divisors (173639761807680).

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

54343473206400 is a wasteful number, since it uses less digits than its factorization.

54343473206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 45.

The spelling of 54343473206400 in words is "fifty-four trillion, three hundred forty-three billion, four hundred seventy-three million, two hundred six thousand, four hundred".