10078947216 has 480 divisors, whose sum is σ = 33976575360. Its totient is φ = 2759049216.

The previous prime is 10078947211. The next prime is 10078947227. The reversal of 10078947216 is 61274987001.

It is a happy number.

10078947216 is a `hidden beast` number, since 100 + 78 + 9 + 472 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (10078947211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61833951 + ... + 61834113.

It is an arithmetic number, because the mean of its divisors is an integer number (70784532).

Almost surely, 2^10078947216 is an apocalyptic number.

10078947216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10078947216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988287680).

10078947216 is an abundant number, since it is smaller than the sum of its proper divisors (23897628144).

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

10078947216 is a wasteful number, since it uses less digits than its factorization.

10078947216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 10078947216 in words is "ten billion, seventy-eight million, nine hundred forty-seven thousand, two hundred sixteen".