6025167106560 has 1280 divisors, whose sum is σ = 25811890790400. Its totient is φ = 1301395341312.

The previous prime is 6025167106537. The next prime is 6025167106627. The reversal of 6025167106560 is 656017615206.

6025167106560 is a `hidden beast` number, since 6 + 0 + 2 + 5 + 16 + 71 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 5947844614 + ... + 5947845626.

It is an arithmetic number, because the mean of its divisors is an integer number (20165539680).

Almost surely, 2^{6025167106560} is an apocalyptic number.

6025167106560 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 6025167106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905945395200).

6025167106560 is an abundant number, since it is smaller than the sum of its proper divisors (19786723683840).

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

6025167106560 is a wasteful number, since it uses less digits than its factorization.

6025167106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 6025167106560 in words is "six trillion, twenty-five billion, one hundred sixty-seven million, one hundred six thousand, five hundred sixty".