5628161196000 has 1152 divisors, whose sum is σ = 23949801308160. Its totient is φ = 1224470016000.

The previous prime is 5628161195989. The next prime is 5628161196001. The reversal of 5628161196000 is 6911618265.

5628161196000 is a `hidden beast` number, since 5 + 6 + 28 + 1 + 6 + 1 + 19 + 600 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5628161196001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518862577 + ... + 518873423.

It is an arithmetic number, because the mean of its divisors is an integer number (20789758080).

Almost surely, 2^{5628161196000} is an apocalyptic number.

5628161196000 is a gapful number since it is divisible by the number (50) 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 5628161196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11974900654080).

5628161196000 is an abundant number, since it is smaller than the sum of its proper divisors (18321640112160).

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

5628161196000 is a wasteful number, since it uses less digits than its factorization.

5628161196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10985 (or 10964 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 5628161196000 in words is "five trillion, six hundred twenty-eight billion, one hundred sixty-one million, one hundred ninety-six thousand".