5517412560 has 480 divisors, whose sum is σ = 21923561088. Its totient is φ = 1228308480.

The previous prime is 5517412529. The next prime is 5517412573. The reversal of 5517412560 is 652147155.

5517412560 is a `hidden beast` number, since 5 + 51 + 7 + 41 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 5789044 + ... + 5789996.

Almost surely, 2^5517412560 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 5517412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961780544).

5517412560 is an abundant number, since it is smaller than the sum of its proper divisors (16406148528).

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

5517412560 is a wasteful number, since it uses less digits than its factorization.

5517412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5517412560 is about 74279.2875571650. The cubic root of 5517412560 is about 1767.0350053550.

The spelling of 5517412560 in words is "five billion, five hundred seventeen million, four hundred twelve thousand, five hundred sixty".