56483481600 has 1152 divisors, whose sum is σ = 255921120000. Its totient is φ = 11890851840.

The previous prime is 56483481559. The next prime is 56483481641. The reversal of 56483481600 is 618438465.

56483481600 is a `hidden beast` number, since 5 + 6 + 4 + 8 + 34 + 8 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (56483481559) and next prime (56483481641).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125798176 + ... + 125798624.

It is an arithmetic number, because the mean of its divisors is an integer number (222153750).

Almost surely, 2^56483481600 is an apocalyptic number.

56483481600 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 56483481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127960560000).

56483481600 is an abundant number, since it is smaller than the sum of its proper divisors (199437638400).

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

56483481600 is a wasteful number, since it uses less digits than its factorization.

56483481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 56483481600 in words is "fifty-six billion, four hundred eighty-three million, four hundred eighty-one thousand, six hundred".