6111645030540 has 2304 divisors, whose sum is σ = 24647046488064. Its totient is φ = 1195587993600.

The previous prime is 6111645030493. The next prime is 6111645030599. The reversal of 6111645030540 is 450305461116.

6111645030540 is a `hidden beast` number, since 6 + 1 + 1 + 1 + 64 + 50 + 3 + 0 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6111645030495 and 6111645030504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 100190902110 + ... + 100190902170.

It is an arithmetic number, because the mean of its divisors is an integer number (10697502816).

Almost surely, 2^{6111645030540} is an apocalyptic number.

6111645030540 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 6111645030540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323523244032).

6111645030540 is an abundant number, since it is smaller than the sum of its proper divisors (18535401457524).

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

6111645030540 is a wasteful number, since it uses less digits than its factorization.

6111645030540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 6111645030540 in words is "six trillion, one hundred eleven billion, six hundred forty-five million, thirty thousand, five hundred forty".