54295852800 has 432 divisors, whose sum is σ = 206463229952. Its totient is φ = 12308889600.

The previous prime is 54295852799. The next prime is 54295852837. The reversal of 54295852800 is 825859245.

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 54295852800.

It is a congruent number.

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, 17067210 + ... + 17070390.

Almost surely, 2^54295852800 is an apocalyptic number.

54295852800 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 54295852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103231614976).

54295852800 is an abundant number, since it is smaller than the sum of its proper divisors (152167377152).

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

54295852800 is a wasteful number, since it uses less digits than its factorization.

54295852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 54295852800 in words is "fifty-four billion, two hundred ninety-five million, eight hundred fifty-two thousand, eight hundred".