5517282960 has 240 divisors, whose sum is σ = 21286137600. Its totient is φ = 1254528000.

The previous prime is 5517282959. The next prime is 5517282983. The reversal of 5517282960 is 692827155.

5517282960 is a `hidden beast` number, since 551 + 7 + 2 + 8 + 2 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5517282960² = 60880822521412723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1000210 + ... + 1005710.

It is an arithmetic number, because the mean of its divisors is an integer number (88692240).

Almost surely, 2^5517282960 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 5517282960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10643068800).

5517282960 is an abundant number, since it is smaller than the sum of its proper divisors (15768854640).

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

5517282960 is a wasteful number, since it uses less digits than its factorization.

5517282960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726 (or 5717 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5517282960 is about 74278.4151688766. The cubic root of 5517282960 is about 1767.0211697918.

The spelling of 5517282960 in words is "five billion, five hundred seventeen million, two hundred eighty-two thousand, nine hundred sixty".