6056029980 has 1152 divisors, whose sum is σ = 27298252800. Its totient is φ = 1045094400.

The previous prime is 6056029957. The next prime is 6056030021. The reversal of 6056029980 is 899206506.

6056029980 is a `hidden beast` number, since 6 + 0 + 560 + 2 + 9 + 9 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99279150 + ... + 99279210.

It is an arithmetic number, because the mean of its divisors is an integer number (23696400).

Almost surely, 2^6056029980 is an apocalyptic number.

6056029980 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 6056029980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649126400).

6056029980 is an abundant number, since it is smaller than the sum of its proper divisors (21242222820).

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

6056029980 is a wasteful number, since it uses less digits than its factorization.

6056029980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6056029980 is about 77820.4984563836. The cubic root of 6056029980 is about 1822.7593674231.

The spelling of 6056029980 in words is "six billion, fifty-six million, twenty-nine thousand, nine hundred eighty".