56305119816000 has 896 divisors, whose sum is σ = 228139941219840. Its totient is φ = 13649679360000.

The previous prime is 56305119815957. The next prime is 56305119816037. The reversal of 56305119816000 is 61891150365.

56305119816000 is a `hidden beast` number, since 5 + 6 + 30 + 5 + 1 + 1 + 9 + 8 + 1 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 192309720 + ... + 192602280.

Almost surely, 2^{56305119816000} is an apocalyptic number.

56305119816000 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 56305119816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114069970609920).

56305119816000 is an abundant number, since it is smaller than the sum of its proper divisors (171834821403840).

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

56305119816000 is an equidigital number, since it uses as much as digits as its factorization.

56305119816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292620 (or 292582 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 56305119816000 in words is "fifty-six trillion, three hundred five billion, one hundred nineteen million, eight hundred sixteen thousand".