56133630014000 has 640 divisors, whose sum is σ = 172965072384000. Its totient is φ = 17466986880000.

The previous prime is 56133630013991. The next prime is 56133630014009. The reversal of 56133630014000 is 41003633165.

It is an interprime number because it is at equal distance from previous prime (56133630013991) and next prime (56133630014009).

It is not an unprimeable number, because it can be changed into a prime (56133630014009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4761520106 + ... + 4761531894.

It is an arithmetic number, because the mean of its divisors is an integer number (270257925600).

Almost surely, 2^{56133630014000} is an apocalyptic number.

56133630014000 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 56133630014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86482536192000).

56133630014000 is an abundant number, since it is smaller than the sum of its proper divisors (116831442370000).

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

56133630014000 is a wasteful number, since it uses less digits than its factorization.

56133630014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12475 (or 12445 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 56133630014000 its reverse (41003633165), we get a palindrome (56174633647165).

The spelling of 56133630014000 in words is "fifty-six trillion, one hundred thirty-three billion, six hundred thirty million, fourteen thousand".