54855280299456 has 448 divisors, whose sum is σ = 199518486773760. Its totient is φ = 14391573626880.

The previous prime is 54855280299427. The next prime is 54855280299487. The reversal of 54855280299456 is 65499208255845.

54855280299456 is a `hidden beast` number, since 5 + 4 + 8 + 5 + 5 + 2 + 80 + 2 + 99 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29121160 + ... + 30947576.

It is an arithmetic number, because the mean of its divisors is an integer number (445353765120).

Almost surely, 2^{54855280299456} is an apocalyptic number.

54855280299456 is a gapful number since it is divisible by the number (56) 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 54855280299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99759243386880).

54855280299456 is an abundant number, since it is smaller than the sum of its proper divisors (144663206474304).

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

54855280299456 is a wasteful number, since it uses less digits than its factorization.

54855280299456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826649 (or 1826633 counting only the distinct ones).

The product of its (nonzero) digits is 1244160000, while the sum is 72.

The spelling of 54855280299456 in words is "fifty-four trillion, eight hundred fifty-five billion, two hundred eighty million, two hundred ninety-nine thousand, four hundred fifty-six".