56446596360 has 768 divisors, whose sum is σ = 241834844160. Its totient is φ = 11499770880.

The previous prime is 56446596359. The next prime is 56446596361. The reversal of 56446596360 is 6369564465.

56446596360 is a `hidden beast` number, since 5 + 6 + 4 + 46 + 596 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56446596359) and next prime (56446596361).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56446596297 and 56446596306.

It is not an unprimeable number, because it can be changed into a prime (56446596361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39666609 + ... + 39668031.

It is an arithmetic number, because the mean of its divisors is an integer number (314889120).

Almost surely, 2^56446596360 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 56446596360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120917422080).

56446596360 is an abundant number, since it is smaller than the sum of its proper divisors (185388247800).

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

56446596360 is a wasteful number, since it uses less digits than its factorization.

56446596360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 56446596360 in words is "fifty-six billion, four hundred forty-six million, five hundred ninety-six thousand, three hundred sixty".