978565086720 has 1920 divisors, whose sum is σ = 4189288118400. Its totient is φ = 214233513984.

The previous prime is 978565086713. The next prime is 978565086721. The reversal of 978565086720 is 27680565879.

978565086720 is a `hidden beast` number, since 9 + 7 + 8 + 56 + 508 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×978565086720² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978565086721) 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, 20820533737 + ... + 20820533783.

It is an arithmetic number, because the mean of its divisors is an integer number (2181920895).

Almost surely, 2^978565086720 is an apocalyptic number.

978565086720 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 978565086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094644059200).

978565086720 is an abundant number, since it is smaller than the sum of its proper divisors (3210723031680).

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

978565086720 is a wasteful number, since it uses less digits than its factorization.

978565086720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 978565086720 in words is "nine hundred seventy-eight billion, five hundred sixty-five million, eighty-six thousand, seven hundred twenty".