6061005000000 has 504 divisors, whose sum is σ = 21775247673192. Its totient is φ = 1611864000000.

The previous prime is 6061004999999. The next prime is 6061005000023. The reversal of 6061005000000 is 5001606.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6061005000000 is a `hidden beast` number, since 6 + 0 + 610 + 0 + 50 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5995759493376 + 65245506624 = 2448624^2 + 255432^2 .

It is a super-2 number, since 2×6061005000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 16514999817 + ... + 16515000183.

Almost surely, 2^{6061005000000} is an apocalyptic number.

6061005000000 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 6061005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10887623836596).

6061005000000 is an abundant number, since it is smaller than the sum of its proper divisors (15714242673192).

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

6061005000000 is an frugal number, since it uses more digits than its factorization.

6061005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

6061005000000 divided by its product of nonzero digits (180) gives a square (33672250000 = 183500²).

The spelling of 6061005000000 in words is "six trillion, sixty-one billion, five million", and thus it is an aban number and an uban number.