56607124000 has 192 divisors, whose sum is σ = 160368429312. Its totient is φ = 19235328000.

The previous prime is 56607123931. The next prime is 56607124003. The reversal of 56607124000 is 42170665.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56607124003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3155055 + ... + 3172945.

It is an arithmetic number, because the mean of its divisors is an integer number (835252236).

Almost surely, 2^56607124000 is an apocalyptic number.

56607124000 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 56607124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80184214656).

56607124000 is an abundant number, since it is smaller than the sum of its proper divisors (103761305312).

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

56607124000 is a wasteful number, since it uses less digits than its factorization.

56607124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18036 (or 18018 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 56607124000 its reverse (42170665), we get a palindrome (56649294665).

The spelling of 56607124000 in words is "fifty-six billion, six hundred seven million, one hundred twenty-four thousand".