55859328000000 has 1568 divisors, whose sum is σ = 236526534921600. Its totient is φ = 12762316800000.

The previous prime is 55859327999977. The next prime is 55859328000013. The reversal of 55859328000000 is 82395855.

55859328000000 is a `hidden beast` number, since 5 + 58 + 593 + 2 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×55859328000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 55859328000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24191998846 + ... + 24192001154.

Almost surely, 2^{55859328000000} is an apocalyptic number.

55859328000000 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 55859328000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118263267460800).

55859328000000 is an abundant number, since it is smaller than the sum of its proper divisors (180667206921600).

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

55859328000000 is an frugal number, since it uses more digits than its factorization.

55859328000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55859328000000 in words is "fifty-five trillion, eight hundred fifty-nine billion, three hundred twenty-eight million", and thus it is an aban number.