979513217280 has 432 divisors, whose sum is σ = 3682068966576. Its totient is φ = 238973091840.

The previous prime is 979513217261. The next prime is 979513217303. The reversal of 979513217280 is 82712315979.

It is a happy number.

979513217280 is a `hidden beast` number, since 97 + 9 + 513 + 2 + 17 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 600786210816 + 378727006464 = 775104^2 + 615408^2 .

It is a super-2 number, since 2×979513217280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16893940 + ... + 16951820.

It is an arithmetic number, because the mean of its divisors is an integer number (8523307793).

Almost surely, 2^979513217280 is an apocalyptic number.

979513217280 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 979513217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841034483288).

979513217280 is an abundant number, since it is smaller than the sum of its proper divisors (2702555749296).

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

979513217280 is a wasteful number, since it uses less digits than its factorization.

979513217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58034 (or 58017 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 979513217280 in words is "nine hundred seventy-nine billion, five hundred thirteen million, two hundred seventeen thousand, two hundred eighty".