56552081983488 has 3456 divisors, whose sum is σ = 229808084688000. Its totient is φ = 13725015736320.

The previous prime is 56552081983477. The next prime is 56552081983543. The reversal of 56552081983488 is 88438918025565.

It is a happy number.

56552081983488 is a `hidden beast` number, since 5 + 6 + 5 + 52 + 0 + 8 + 1 + 98 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×56552081983488² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 246952322958 + ... + 246952323186.

It is an arithmetic number, because the mean of its divisors is an integer number (66495394875).

Almost surely, 2^{56552081983488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56552081983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114904042344000).

56552081983488 is an abundant number, since it is smaller than the sum of its proper divisors (173256002704512).

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

56552081983488 is a wasteful number, since it uses less digits than its factorization.

56552081983488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 663552000, while the sum is 72.

The spelling of 56552081983488 in words is "fifty-six trillion, five hundred fifty-two billion, eighty-one million, nine hundred eighty-three thousand, four hundred eighty-eight".