55582464000 has 768 divisors, whose sum is σ = 216687744000. Its totient is φ = 12644352000.

The previous prime is 55582463977. The next prime is 55582464001. The reversal of 55582464000 is 46428555.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×55582464000² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55582464000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55582464001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263423895 + ... + 263424105.

It is an arithmetic number, because the mean of its divisors is an integer number (282145500).

Almost surely, 2^55582464000 is an apocalyptic number.

55582464000 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 55582464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108343872000).

55582464000 is an abundant number, since it is smaller than the sum of its proper divisors (161105280000).

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

55582464000 is an equidigital number, since it uses as much as digits as its factorization.

55582464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

The spelling of 55582464000 in words is "fifty-five billion, five hundred eighty-two million, four hundred sixty-four thousand".