980282777600 has 1344 divisors, whose sum is σ = 3247136812800. Its totient is φ = 285380444160.

The previous prime is 980282777563. The next prime is 980282777603. The reversal of 980282777600 is 6777282089.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980282777603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13428531164 + ... + 13428531236.

Almost surely, 2^980282777600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980282777600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623568406400).

980282777600 is an abundant number, since it is smaller than the sum of its proper divisors (2266854035200).

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

980282777600 is a wasteful number, since it uses less digits than its factorization.

980282777600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 56.

The spelling of 980282777600 in words is "nine hundred eighty billion, two hundred eighty-two million, seven hundred seventy-seven thousand, six hundred".