54258940800 has 1152 divisors, whose sum is σ = 220162471200. Its totient is φ = 13035110400.

The previous prime is 54258940777. The next prime is 54258940807. The reversal of 54258940800 is 804985245.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54258940807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1023753574 + ... + 1023753626.

Almost surely, 2^54258940800 is an apocalyptic number.

54258940800 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 54258940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110081235600).

54258940800 is an abundant number, since it is smaller than the sum of its proper divisors (165903530400).

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

54258940800 is a wasteful number, since it uses less digits than its factorization.

54258940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

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

The spelling of 54258940800 in words is "fifty-four billion, two hundred fifty-eight million, nine hundred forty thousand, eight hundred".