6001555161600 has 600 divisors, whose sum is σ = 22928842007808. Its totient is φ = 1548780134400.

The previous prime is 6001555161599. The next prime is 6001555161629. The reversal of 6001555161600 is 61615551006.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×6001555161600² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32047437 + ... + 32234163.

Almost surely, 2^{6001555161600} is an apocalyptic number.

6001555161600 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 6001555161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464421003904).

6001555161600 is an abundant number, since it is smaller than the sum of its proper divisors (16927286846208).

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

6001555161600 is a wasteful number, since it uses less digits than its factorization.

6001555161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186798 (or 186768 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 6001555161600 in words is "six trillion, one billion, five hundred fifty-five million, one hundred sixty-one thousand, six hundred".