989370950400 has 648 divisors, whose sum is σ = 4280368476384. Its totient is φ = 212837990400.

The previous prime is 989370950389. The next prime is 989370950413. The reversal of 989370950400 is 4059073989.

989370950400 is a `hidden beast` number, since 9 + 89 + 3 + 70 + 95 + 0 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6782230 + ... + 6926570.

It is an arithmetic number, because the mean of its divisors is an integer number (6605506908).

Almost surely, 2^989370950400 is an apocalyptic number.

989370950400 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 989370950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140184238192).

989370950400 is an abundant number, since it is smaller than the sum of its proper divisors (3290997525984).

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

989370950400 is a wasteful number, since it uses less digits than its factorization.

989370950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144397 (or 144375 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 989370950400 in words is "nine hundred eighty-nine billion, three hundred seventy million, nine hundred fifty thousand, four hundred".