6166015971600 has 480 divisors, whose sum is σ = 21542763139200. Its totient is φ = 1501607116800.

The previous prime is 6166015971559. The next prime is 6166015971677. The reversal of 6166015971600 is 61795106616.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6166015971600.

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 95 ways as a sum of consecutive naturals, for example, 431756460 + ... + 431770740.

It is an arithmetic number, because the mean of its divisors is an integer number (44880756540).

Almost surely, 2^{6166015971600} is an apocalyptic number.

6166015971600 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 6166015971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771381569600).

6166015971600 is an abundant number, since it is smaller than the sum of its proper divisors (15376747167600).

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

6166015971600 is a wasteful number, since it uses less digits than its factorization.

6166015971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15003 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 6166015971600 in words is "six trillion, one hundred sixty-six billion, fifteen million, nine hundred seventy-one thousand, six hundred".