973558020960 has 2304 divisors, whose sum is σ = 4579473024000. Its totient is φ = 191182602240.

The previous prime is 973558020949. The next prime is 973558021019. The reversal of 973558020960 is 69020855379.

973558020960 is a `hidden beast` number, since 9 + 7 + 3 + 558 + 0 + 20 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 973558020897 and 973558020906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1982806315 + ... + 1982806805.

It is an arithmetic number, because the mean of its divisors is an integer number (1987618500).

Almost surely, 2^973558020960 is an apocalyptic number.

973558020960 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 973558020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289736512000).

973558020960 is an abundant number, since it is smaller than the sum of its proper divisors (3605915003040).

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

973558020960 is a wasteful number, since it uses less digits than its factorization.

973558020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 973558020960 in words is "nine hundred seventy-three billion, five hundred fifty-eight million, twenty thousand, nine hundred sixty".