6161150304000 has 1728 divisors, whose sum is σ = 24178972446720. Its totient is φ = 1560176640000.

The previous prime is 6161150303983. The next prime is 6161150304013. The reversal of 6161150304000 is 4030511616.

6161150304000 is a `hidden beast` number, since 6 + 1 + 611 + 5 + 0 + 3 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14704415791 + ... + 14704416209.

Almost surely, 2^{6161150304000} is an apocalyptic number.

6161150304000 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 6161150304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12089486223360).

6161150304000 is an abundant number, since it is smaller than the sum of its proper divisors (18017822142720).

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

6161150304000 is an equidigital number, since it uses as much as digits as its factorization.

6161150304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 6161150304000 its reverse (4030511616), we get a palindrome (6165180815616).

The spelling of 6161150304000 in words is "six trillion, one hundred sixty-one billion, one hundred fifty million, three hundred four thousand".