8012291605920 has 1152 divisors, whose sum is σ = 33037437468672. Its totient is φ = 1795845427200.

The previous prime is 8012291605919. The next prime is 8012291605921. The reversal of 8012291605920 is 295061922108.

It is a happy number.

8012291605920 is a `hidden beast` number, since 8 + 0 + 12 + 2 + 9 + 1 + 605 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8012291605919) and next prime (8012291605921).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8012291605921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8085056625 + ... + 8085057615.

It is an arithmetic number, because the mean of its divisors is an integer number (28678331136).

Almost surely, 2^{8012291605920} is an apocalyptic number.

8012291605920 is a gapful number since it is divisible by the number (80) 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 8012291605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16518718734336).

8012291605920 is an abundant number, since it is smaller than the sum of its proper divisors (25025145862752).

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

8012291605920 is a wasteful number, since it uses less digits than its factorization.

8012291605920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 8012291605920 in words is "eight trillion, twelve billion, two hundred ninety-one million, six hundred five thousand, nine hundred twenty".