56601006000 has 640 divisors, whose sum is σ = 229951567872. Its totient is φ = 11635200000.

The previous prime is 56601005971. The next prime is 56601006001. The reversal of 56601006000 is 60010665.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (56601006001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46661394 + ... + 46662606.

Almost surely, 2^56601006000 is an apocalyptic number.

56601006000 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 56601006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114975783936).

56601006000 is an abundant number, since it is smaller than the sum of its proper divisors (173350561872).

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

56601006000 is a wasteful number, since it uses less digits than its factorization.

56601006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 56601006000 its reverse (60010665), we get a palindrome (56661016665).

The spelling of 56601006000 in words is "fifty-six billion, six hundred one million, six thousand".