8278541381952 has 280 divisors, whose sum is σ = 25618141296000. Its totient is φ = 2638402550784.

The previous prime is 8278541381951. The next prime is 8278541381953. The reversal of 8278541381952 is 2591831458728.

8278541381952 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 541 + 3 + 81 + 9 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (8278541381951) and next prime (8278541381953).

It is a self number, because there is not a number n which added to its sum of digits gives 8278541381952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8278541381951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303908749 + ... + 303935987.

Almost surely, 2^{8278541381952} 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 8278541381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12809070648000).

8278541381952 is an abundant number, since it is smaller than the sum of its proper divisors (17339599914048).

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

8278541381952 is a wasteful number, since it uses less digits than its factorization.

8278541381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29835 (or 29816 counting only the distinct ones).

The product of its digits is 38707200, while the sum is 63.

The spelling of 8278541381952 in words is "eight trillion, two hundred seventy-eight billion, five hundred forty-one million, three hundred eighty-one thousand, nine hundred fifty-two".