980356680576 has 1344 divisors, whose sum is σ = 3701727630720. Its totient is φ = 253053186048.

The previous prime is 980356680571. The next prime is 980356680623. The reversal of 980356680576 is 675086653089.

980356680576 is a `hidden beast` number, since 9 + 8 + 0 + 3 + 56 + 6 + 8 + 0 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×980356680576² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980356680571) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9162211915 + ... + 9162212021.

It is an arithmetic number, because the mean of its divisors is an integer number (2754261630).

Almost surely, 2^980356680576 is an apocalyptic number.

980356680576 is a gapful number since it is divisible by the number (96) 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 980356680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850863815360).

980356680576 is an abundant number, since it is smaller than the sum of its proper divisors (2721370950144).

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

980356680576 is a wasteful number, since it uses less digits than its factorization.

980356680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 980356680576 in words is "nine hundred eighty billion, three hundred fifty-six million, six hundred eighty thousand, five hundred seventy-six".