989919766080 has 2240 divisors, whose sum is σ = 4475263795200. Its totient is φ = 202628874240.

The previous prime is 989919766039. The next prime is 989919766091. The reversal of 989919766080 is 80667919989.

989919766080 is a `hidden beast` number, since 9 + 8 + 9 + 9 + 1 + 9 + 7 + 6 + 608 + 0 = 666.

989919766080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×989919766080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6305221362 + ... + 6305221518.

Almost surely, 2^989919766080 is an apocalyptic number.

989919766080 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 989919766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237631897600).

989919766080 is an abundant number, since it is smaller than the sum of its proper divisors (3485344029120).

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

989919766080 is a wasteful number, since it uses less digits than its factorization.

989919766080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 989919766080 in words is "nine hundred eighty-nine billion, nine hundred nineteen million, seven hundred sixty-six thousand, eighty".