5427875980800 has 4320 divisors, whose sum is σ = 27240426813600. Its totient is φ = 1016667832320.

The previous prime is 5427875980739. The next prime is 5427875980829. The reversal of 5427875980800 is 80895787245.

5427875980800 is a `hidden beast` number, since 5 + 427 + 8 + 7 + 59 + 80 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 23702515086 + ... + 23702515314.

It is an arithmetic number, because the mean of its divisors is an integer number (6305654355).

Almost surely, 2^{5427875980800} is an apocalyptic number.

5427875980800 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 5427875980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13620213406800).

5427875980800 is an abundant number, since it is smaller than the sum of its proper divisors (21812550832800).

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

5427875980800 is a wasteful number, since it uses less digits than its factorization.

5427875980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 63.

The spelling of 5427875980800 in words is "five trillion, four hundred twenty-seven billion, eight hundred seventy-five million, nine hundred eighty thousand, eight hundred".