8020978561024 has 416 divisors, whose sum is σ = 19979476715520. Its totient is φ = 3168593510400.

The previous prime is 8020978561019. The next prime is 8020978561051. The reversal of 8020978561024 is 4201658790208.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671824047 + ... + 671835985.

Almost surely, 2^{8020978561024} 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 8020978561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9989738357760).

8020978561024 is an abundant number, since it is smaller than the sum of its proper divisors (11958498154496).

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

8020978561024 is a wasteful number, since it uses less digits than its factorization.

8020978561024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12055 (or 12033 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 52.

The spelling of 8020978561024 in words is "eight trillion, twenty billion, nine hundred seventy-eight million, five hundred sixty-one thousand, twenty-four".