54285280358400 has 6240 divisors, whose sum is σ = 267582843601920. Its totient is φ = 10566720552960.

The previous prime is 54285280358389. The next prime is 54285280358411. The reversal of 54285280358400 is 485308258245.

54285280358400 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 5 + 280 + 358 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54285280358389) and next prime (54285280358411).

It is a tau number, because it is divible by the number of its divisors (6240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 920089497571 + ... + 920089497629.

Almost surely, 2^{54285280358400} is an apocalyptic number.

54285280358400 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 54285280358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133791421800960).

54285280358400 is an abundant number, since it is smaller than the sum of its proper divisors (213297563243520).

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

54285280358400 is a wasteful number, since it uses less digits than its factorization.

54285280358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 54285280358400 in words is "fifty-four trillion, two hundred eighty-five billion, two hundred eighty million, three hundred fifty-eight thousand, four hundred".