8442793451520 has 1120 divisors, whose sum is σ = 32351837760000. Its totient is φ = 2100030603264.

The previous prime is 8442793451513. The next prime is 8442793451527. The reversal of 8442793451520 is 251543972448.

It is a happy number.

8442793451520 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 79 + 3 + 45 + 1 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (8442793451513) and next prime (8442793451527).

It is a super-2 number, since 2×8442793451520² (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 (8442793451527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4223507481 + ... + 4223509479.

Almost surely, 2^{8442793451520} is an apocalyptic number.

8442793451520 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 8442793451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16175918880000).

8442793451520 is an abundant number, since it is smaller than the sum of its proper divisors (23909044308480).

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

8442793451520 is a wasteful number, since it uses less digits than its factorization.

8442793451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 8442793451520 in words is "eight trillion, four hundred forty-two billion, seven hundred ninety-three million, four hundred fifty-one thousand, five hundred twenty".