8012405197056 has 576 divisors, whose sum is σ = 25204467326976. Its totient is φ = 2236170240000.

The previous prime is 8012405197051. The next prime is 8012405197063. The reversal of 8012405197056 is 6507915042108.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8012405196996 and 8012405197014.

It is not an unprimeable number, because it can be changed into a prime (8012405197051) 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, 1320650535 + ... + 1320656601.

It is an arithmetic number, because the mean of its divisors is an integer number (43757755776).

Almost surely, 2^{8012405197056} 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 8012405197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602233663488).

8012405197056 is an abundant number, since it is smaller than the sum of its proper divisors (17192062129920).

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

8012405197056 is a wasteful number, since it uses less digits than its factorization.

8012405197056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 8012405197056 in words is "eight trillion, twelve billion, four hundred five million, one hundred ninety-seven thousand, fifty-six".