56024158466100 has 864 divisors, whose sum is σ = 195477039918720. Its totient is φ = 12328520089600.

The previous prime is 56024158466053. The next prime is 56024158466113. The reversal of 56024158466100 is 166485142065.

It is a self number, because there is not a number n which added to its sum of digits gives 56024158466100.

It is a congruent number.

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, 1929657184 + ... + 1929686216.

It is an arithmetic number, because the mean of its divisors is an integer number (226246573980).

Almost surely, 2^{56024158466100} is an apocalyptic number.

56024158466100 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 56024158466100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97738519959360).

56024158466100 is an abundant number, since it is smaller than the sum of its proper divisors (139452881452620).

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

56024158466100 is a wasteful number, since it uses less digits than its factorization.

56024158466100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29201 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 56024158466100 in words is "fifty-six trillion, twenty-four billion, one hundred fifty-eight million, four hundred sixty-six thousand, one hundred".