6116901658560 has 1792 divisors, whose sum is σ = 27577718784000. Its totient is φ = 1239601397760.

The previous prime is 6116901658559. The next prime is 6116901658643. The reversal of 6116901658560 is 658561096116.

6116901658560 is a `hidden beast` number, since 6 + 1 + 1 + 69 + 0 + 16 + 5 + 8 + 560 = 666.

It is a super-4 number, since 4×6116901658560⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6116901658497 and 6116901658506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4858539211 + ... + 4858540469.

It is an arithmetic number, because the mean of its divisors is an integer number (15389352000).

Almost surely, 2^{6116901658560} is an apocalyptic number.

6116901658560 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 6116901658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13788859392000).

6116901658560 is an abundant number, since it is smaller than the sum of its proper divisors (21460817125440).

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

6116901658560 is a wasteful number, since it uses less digits than its factorization.

6116901658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 6116901658560 in words is "six trillion, one hundred sixteen billion, nine hundred one million, six hundred fifty-eight thousand, five hundred sixty".