6101038080 has 264 divisors, whose sum is σ = 21826980864. Its totient is φ = 1574092800.

The previous prime is 6101038061. The next prime is 6101038093. The reversal of 6101038080 is 808301016.

6101038080 is a `hidden beast` number, since 610 + 10 + 38 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×6101038080² = 74445331307220172800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426345 + ... + 1430615.

Almost surely, 2^6101038080 is an apocalyptic number.

6101038080 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 6101038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913490432).

6101038080 is an abundant number, since it is smaller than the sum of its proper divisors (15725942784).

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

6101038080 is a wasteful number, since it uses less digits than its factorization.

6101038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4333 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6101038080 is about 78109.1421025734. The cubic root of 6101038080 is about 1827.2637778915.

Adding to 6101038080 its reverse (808301016), we get a palindrome (6909339096).

The spelling of 6101038080 in words is "six billion, one hundred one million, thirty-eight thousand, eighty".