56466299266400 has 72 divisors (see below), whose sum is σ = 137929016665440. Its totient is φ = 22573302940160.

The previous prime is 56466299266379. The next prime is 56466299266409. The reversal of 56466299266400 is 466299266465.

56466299266400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56466299266409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19283144 + ... + 22017543.

It is an arithmetic number, because the mean of its divisors is an integer number (1915680787020).

Almost surely, 2^{56466299266400} is an apocalyptic number.

56466299266400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56466299266400 is an abundant number, since it is smaller than the sum of its proper divisors (81462717399040).

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

56466299266400 is a wasteful number, since it uses less digits than its factorization.

56466299266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41302416 (or 41302403 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 65.

Adding to 56466299266400 its sum of digits (65), we get a palindrome (56466299266465).

The spelling of 56466299266400 in words is "fifty-six trillion, four hundred sixty-six billion, two hundred ninety-nine million, two hundred sixty-six thousand, four hundred".