56171194464 has 768 divisors, whose sum is σ = 202330275840. Its totient is φ = 13208832000.

The previous prime is 56171194423. The next prime is 56171194517. The reversal of 56171194464 is 46449117165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 428787679 + ... + 428787809.

It is an arithmetic number, because the mean of its divisors is an integer number (263450880).

Almost surely, 2^56171194464 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 56171194464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101165137920).

56171194464 is an abundant number, since it is smaller than the sum of its proper divisors (146159081376).

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

56171194464 is a wasteful number, since it uses less digits than its factorization.

56171194464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The spelling of 56171194464 in words is "fifty-six billion, one hundred seventy-one million, one hundred ninety-four thousand, four hundred sixty-four".