980729856000 has 720 divisors, whose sum is σ = 3661676338320. Its totient is φ = 261174067200.

The previous prime is 980729855969. The next prime is 980729856049. The reversal of 980729856000 is 658927089.

It is a happy number.

980729856000 is a `hidden beast` number, since 9 + 8 + 0 + 7 + 29 + 8 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1327103631 + ... + 1327104369.

It is an arithmetic number, because the mean of its divisors is an integer number (5085661581).

Almost surely, 2^980729856000 is an apocalyptic number.

980729856000 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 980729856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830838169160).

980729856000 is an abundant number, since it is smaller than the sum of its proper divisors (2680946482320).

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

980729856000 is an frugal number, since it uses more digits than its factorization.

980729856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 980729856000 in words is "nine hundred eighty billion, seven hundred twenty-nine million, eight hundred fifty-six thousand".