6050661120 has 648 divisors, whose sum is σ = 25318120464. Its totient is φ = 1379524608.

The previous prime is 6050661119. The next prime is 6050661157. The reversal of 6050661120 is 211660506.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×6050661120² = 73220999978159308800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15240762 + ... + 15241158.

Almost surely, 2^6050661120 is an apocalyptic number.

6050661120 is a gapful number since it is divisible by the number (60) 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 6050661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659060232).

6050661120 is an abundant number, since it is smaller than the sum of its proper divisors (19267459344).

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

6050661120 is an equidigital number, since it uses as much as digits as its factorization.

6050661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6050661120 is about 77785.9956547449. The cubic root of 6050661120 is about 1822.2205637723.

The spelling of 6050661120 in words is "six billion, fifty million, six hundred sixty-one thousand, one hundred twenty".