54295084800 has 648 divisors, whose sum is σ = 215092899840. Its totient is φ = 12955852800.

The previous prime is 54295084799. The next prime is 54295084853. The reversal of 54295084800 is 848059245.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42450561 + ... + 42451839.

Almost surely, 2^54295084800 is an apocalyptic number.

54295084800 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 54295084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107546449920).

54295084800 is an abundant number, since it is smaller than the sum of its proper divisors (160797815040).

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

54295084800 is a wasteful number, since it uses less digits than its factorization.

54295084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 54295084800 in words is "fifty-four billion, two hundred ninety-five million, eighty-four thousand, eight hundred".