989359778903040 has 1056 divisors, whose sum is σ = 3702931301212416. Its totient is φ = 243316131102720.

The previous prime is 989359778903011. The next prime is 989359778903051. The reversal of 989359778903040 is 40309877953989.

989359778903040 is a `hidden beast` number, since 9 + 89 + 359 + 7 + 78 + 90 + 30 + 4 + 0 = 666.

It is a super-2 number, since 2×989359778903040² (a number of 31 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 33671148189 + ... + 33671177571.

Almost surely, 2^{989359778903040} is an apocalyptic number.

989359778903040 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 989359778903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851465650606208).

989359778903040 is an abundant number, since it is smaller than the sum of its proper divisors (2713571522309376).

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

989359778903040 is a wasteful number, since it uses less digits than its factorization.

989359778903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30295 (or 30274 counting only the distinct ones).

The product of its (nonzero) digits is 3703553280, while the sum is 81.

The spelling of 989359778903040 in words is "nine hundred eighty-nine trillion, three hundred fifty-nine billion, seven hundred seventy-eight million, nine hundred three thousand, forty".