989001792000 has 1280 divisors, whose sum is σ = 3913148828160. Its totient is φ = 245366784000.

The previous prime is 989001791963. The next prime is 989001792029. The reversal of 989001792000 is 297100989.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×989001792000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3848255872 + ... + 3848256128.

It is an arithmetic number, because the mean of its divisors is an integer number (3057147522).

Almost surely, 2^989001792000 is an apocalyptic number.

989001792000 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 989001792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956574414080).

989001792000 is an abundant number, since it is smaller than the sum of its proper divisors (2924147036160).

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

989001792000 is a wasteful number, since it uses less digits than its factorization.

989001792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

Adding to 989001792000 its reverse (297100989), we get a palindrome (989298892989).

The spelling of 989001792000 in words is "nine hundred eighty-nine billion, one million, seven hundred ninety-two thousand".