978069755520 has 768 divisors, whose sum is σ = 4100535129600. Its totient is φ = 218862673920.

The previous prime is 978069755513. The next prime is 978069755557. The reversal of 978069755520 is 25557960879.

978069755520 is a `hidden beast` number, since 9 + 7 + 8 + 0 + 6 + 9 + 75 + 552 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27163449 + ... + 27199431.

It is an arithmetic number, because the mean of its divisors is an integer number (5339238450).

Almost surely, 2^978069755520 is an apocalyptic number.

978069755520 is a gapful number since it is divisible by the number (90) 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 978069755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050267564800).

978069755520 is an abundant number, since it is smaller than the sum of its proper divisors (3122465374080).

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

978069755520 is a wasteful number, since it uses less digits than its factorization.

978069755520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36046 (or 36017 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 978069755520 in words is "nine hundred seventy-eight billion, sixty-nine million, seven hundred fifty-five thousand, five hundred twenty".