56178919359360 has 1536 divisors, whose sum is σ = 241826757120000. Its totient is φ = 11725903429632.

The previous prime is 56178919359323. The next prime is 56178919359373. The reversal of 56178919359360 is 6395391987165.

56178919359360 is a `hidden beast` number, since 5 + 6 + 1 + 78 + 9 + 193 + 5 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15973532322 + ... + 15973535838.

It is an arithmetic number, because the mean of its divisors is an integer number (157439295000).

Almost surely, 2^{56178919359360} 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 56178919359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120913378560000).

56178919359360 is an abundant number, since it is smaller than the sum of its proper divisors (185647837760640).

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

56178919359360 is a wasteful number, since it uses less digits than its factorization.

56178919359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 56178919359360 in words is "fifty-six trillion, one hundred seventy-eight billion, nine hundred nineteen million, three hundred fifty-nine thousand, three hundred sixty".