56445192115200 has 1584 divisors, whose sum is σ = 237716054484480. Its totient is φ = 12528560701440.

The previous prime is 56445192115093. The next prime is 56445192115201. The reversal of 56445192115200 is 251129154465.

56445192115200 is a `hidden beast` number, since 5 + 6 + 445 + 1 + 92 + 115 + 2 + 0 + 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 not an unprimeable number, because it can be changed into a prime (56445192115201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12413719327 + ... + 12413723873.

It is an arithmetic number, because the mean of its divisors is an integer number (150073266720).

Almost surely, 2^{56445192115200} is an apocalyptic number.

56445192115200 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 56445192115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118858027242240).

56445192115200 is an abundant number, since it is smaller than the sum of its proper divisors (181270862369280).

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

56445192115200 is a wasteful number, since it uses less digits than its factorization.

56445192115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4786 counting only the distinct ones).

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

The spelling of 56445192115200 in words is "fifty-six trillion, four hundred forty-five billion, one hundred ninety-two million, one hundred fifteen thousand, two hundred".