56746601745000 has 160 divisors (see below), whose sum is σ = 177283721424480. Its totient is φ = 15131800800000.

The previous prime is 56746601744999. The next prime is 56746601745007. The reversal of 56746601745000 is 54710664765.

It is not an unprimeable number, because it can be changed into a prime (56746601745007) 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 39 ways as a sum of consecutive naturals, for example, 447701634 + ... + 447828366.

It is an arithmetic number, because the mean of its divisors is an integer number (1108023258903).

Almost surely, 2^{56746601745000} is an apocalyptic number.

56746601745000 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 56746601745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88641860712240).

56746601745000 is an abundant number, since it is smaller than the sum of its proper divisors (120537119679480).

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

56746601745000 is a wasteful number, since it uses less digits than its factorization.

56746601745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156613 (or 156594 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 56746601745000 in words is "fifty-six trillion, seven hundred forty-six billion, six hundred one million, seven hundred forty-five thousand".