980727552000 has 2304 divisors, whose sum is σ = 4424722848000. Its totient is φ = 208089907200.

The previous prime is 980727551987. The next prime is 980727552041. The reversal of 980727552000 is 255727089.

It is a happy number.

980727552000 is a `hidden beast` number, since 98 + 0 + 7 + 2 + 7 + 552 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13434623964 + ... + 13434624036.

It is an arithmetic number, because the mean of its divisors is an integer number (1920452625).

Almost surely, 2^980727552000 is an apocalyptic number.

980727552000 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 980727552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212361424000).

980727552000 is an abundant number, since it is smaller than the sum of its proper divisors (3443995296000).

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

980727552000 is a wasteful number, since it uses less digits than its factorization.

980727552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 980727552000 in words is "nine hundred eighty billion, seven hundred twenty-seven million, five hundred fifty-two thousand".