8935516980 has 288 divisors, whose sum is σ = 30058348320. Its totient is φ = 2134978560.

The previous prime is 8935516979. The next prime is 8935517047. The reversal of 8935516980 is 896155398.

It is a happy number.

8935516980 is a `hidden beast` number, since 8 + 9 + 3 + 551 + 6 + 9 + 80 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 711929124 + 8223587856 = 26682^2 + 90684^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13517850 + ... + 13518510.

It is an arithmetic number, because the mean of its divisors is an integer number (104369265).

Almost surely, 2^8935516980 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 8935516980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15029174160).

8935516980 is an abundant number, since it is smaller than the sum of its proper divisors (21122831340).

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

8935516980 is a wasteful number, since it uses less digits than its factorization.

8935516980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 8935516980 is about 94527.8635112420. The cubic root of 8935516980 is about 2075.1041302560.

The spelling of 8935516980 in words is "eight billion, nine hundred thirty-five million, five hundred sixteen thousand, nine hundred eighty".