56195284320 has 576 divisors, whose sum is σ = 232961339520. Its totient is φ = 12041846784.

The previous prime is 56195284307. The next prime is 56195284333. The reversal of 56195284320 is 2348259165.

56195284320 is a `hidden beast` number, since 5 + 6 + 195 + 28 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56195284307) and next prime (56195284333).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60489616 + ... + 60490544.

It is an arithmetic number, because the mean of its divisors is an integer number (404446770).

Almost surely, 2^56195284320 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 56195284320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116480669760).

56195284320 is an abundant number, since it is smaller than the sum of its proper divisors (176766055200).

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

56195284320 is a wasteful number, since it uses less digits than its factorization.

56195284320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56195284320 in words is "fifty-six billion, one hundred ninety-five million, two hundred eighty-four thousand, three hundred twenty".