5601765120 has 288 divisors, whose sum is σ = 20548577280. Its totient is φ = 1274019840.

The previous prime is 5601765073. The next prime is 5601765133. The reversal of 5601765120 is 215671065.

It is a super-2 number, since 2×5601765120² = 62759544919297228800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 7284096 + ... + 7284864.

Almost surely, 2^5601765120 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 5601765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10274288640).

5601765120 is an abundant number, since it is smaller than the sum of its proper divisors (14946812160).

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

5601765120 is a wasteful number, since it uses less digits than its factorization.

5601765120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 5601765120 is about 74844.9405103645. The cubic root of 5601765120 is about 1775.9945621130.

The spelling of 5601765120 in words is "five billion, six hundred one million, seven hundred sixty-five thousand, one hundred twenty".