8220178308096 has 528 divisors, whose sum is σ = 26542773653760. Its totient is φ = 2532472750080.

The previous prime is 8220178308053. The next prime is 8220178308113. The reversal of 8220178308096 is 6908038710228.

It is a happy number.

8220178308096 is a `hidden beast` number, since 82 + 2 + 0 + 178 + 308 + 0 + 96 = 666.

It is a super-4 number, since 4×8220178308096⁴ (a number of 53 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193818925 + ... + 193861331.

Almost surely, 2^{8220178308096} 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 8220178308096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271386826880).

8220178308096 is an abundant number, since it is smaller than the sum of its proper divisors (18322595345664).

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

8220178308096 is a wasteful number, since it uses less digits than its factorization.

8220178308096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42502 (or 42472 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8220178308096 in words is "eight trillion, two hundred twenty billion, one hundred seventy-eight million, three hundred eight thousand, ninety-six".