54196084800 has 1344 divisors, whose sum is σ = 240437944320. Its totient is φ = 11695104000.

The previous prime is 54196084793. The next prime is 54196084829. The reversal of 54196084800 is 848069145.

54196084800 is a `hidden beast` number, since 541 + 9 + 60 + 8 + 48 + 0 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 191505459 + ... + 191505741.

It is an arithmetic number, because the mean of its divisors is an integer number (178897280).

Almost surely, 2^54196084800 is an apocalyptic number.

54196084800 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 54196084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120218972160).

54196084800 is an abundant number, since it is smaller than the sum of its proper divisors (186241859520).

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

54196084800 is a wasteful number, since it uses less digits than its factorization.

54196084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 54196084800 in words is "fifty-four billion, one hundred ninety-six million, eighty-four thousand, eight hundred".