980455349520 has 480 divisors, whose sum is σ = 3471167831040. Its totient is φ = 247678894080.

The previous prime is 980455349491. The next prime is 980455349521. The reversal of 980455349520 is 25943554089.

980455349520 is a `hidden beast` number, since 9 + 80 + 4 + 5 + 5 + 34 + 9 + 520 = 666.

It is a super-2 number, since 2×980455349520² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980455349521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338436712 + ... + 338439608.

It is an arithmetic number, because the mean of its divisors is an integer number (7231599648).

Almost surely, 2^980455349520 is an apocalyptic number.

980455349520 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 980455349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735583915520).

980455349520 is an abundant number, since it is smaller than the sum of its proper divisors (2490712481520).

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

980455349520 is a wasteful number, since it uses less digits than its factorization.

980455349520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 980455349520 in words is "nine hundred eighty billion, four hundred fifty-five million, three hundred forty-nine thousand, five hundred twenty".