56178638208 has 1024 divisors, whose sum is σ = 223727616000. Its totient is φ = 13436928000.

The previous prime is 56178638203. The next prime is 56178638213. The reversal of 56178638208 is 80283687165.

56178638208 is a `hidden beast` number, since 561 + 78 + 6 + 3 + 8 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (56178638203) and next prime (56178638213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56178638203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207301113 + ... + 207301383.

It is an arithmetic number, because the mean of its divisors is an integer number (218484000).

Almost surely, 2^56178638208 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 56178638208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111863808000).

56178638208 is an abundant number, since it is smaller than the sum of its proper divisors (167548977792).

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

56178638208 is a wasteful number, since it uses less digits than its factorization.

56178638208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 56178638208 in words is "fifty-six billion, one hundred seventy-eight million, six hundred thirty-eight thousand, two hundred eight".