56601623052 has 144 divisors (see below), whose sum is σ = 158477650240. Its totient is φ = 16920451584.

The previous prime is 56601623051. The next prime is 56601623101. The reversal of 56601623052 is 25032610665.

It is a happy number.

56601623052 is a `hidden beast` number, since 566 + 0 + 1 + 62 + 30 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56601622998 and 56601623016.

It is not an unprimeable number, because it can be changed into a prime (56601623051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14352993 + ... + 14356935.

Almost surely, 2^56601623052 is an apocalyptic number.

56601623052 is a gapful number since it is divisible by the number (52) 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 56601623052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79238825120).

56601623052 is an abundant number, since it is smaller than the sum of its proper divisors (101876027188).

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

56601623052 is a wasteful number, since it uses less digits than its factorization.

56601623052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4832 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 56601623052 in words is "fifty-six billion, six hundred one million, six hundred twenty-three thousand, fifty-two".