56191000320 has 1152 divisors, whose sum is σ = 260098836480. Its totient is φ = 11147673600.

The previous prime is 56191000289. The next prime is 56191000321. The reversal of 56191000320 is 2300019165.

56191000320 is a `hidden beast` number, since 5 + 619 + 10 + 0 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56191000321) 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 127 ways as a sum of consecutive naturals, for example, 53463795 + ... + 53464845.

It is an arithmetic number, because the mean of its divisors is an integer number (225780240).

Almost surely, 2^56191000320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56191000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130049418240).

56191000320 is an abundant number, since it is smaller than the sum of its proper divisors (203907836160).

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

56191000320 is a wasteful number, since it uses less digits than its factorization.

56191000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 56191000320 its reverse (2300019165), we get a palindrome (58491019485).

The spelling of 56191000320 in words is "fifty-six billion, one hundred ninety-one million, three hundred twenty", and thus it is an aban number.