8078451204096 has 896 divisors, whose sum is σ = 30062936064000. Its totient is φ = 2130320424960.

The previous prime is 8078451204077. The next prime is 8078451204097. The reversal of 8078451204096 is 6904021548708.

It is a happy number.

8078451204096 is a `hidden beast` number, since 8 + 0 + 7 + 84 + 512 + 0 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×8078451204096² (a number of 27 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (8078451204097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 986255361 + ... + 986263551.

It is an arithmetic number, because the mean of its divisors is an integer number (33552384000).

Almost surely, 2^{8078451204096} 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 8078451204096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15031468032000).

8078451204096 is an abundant number, since it is smaller than the sum of its proper divisors (21984484859904).

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

8078451204096 is an equidigital number, since it uses as much as digits as its factorization.

8078451204096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8260 (or 8216 counting only the distinct ones).

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

The spelling of 8078451204096 in words is "eight trillion, seventy-eight billion, four hundred fifty-one million, two hundred four thousand, ninety-six".