1551156566166 has 192 divisors, whose sum is σ = 3690989752320. Its totient is φ = 469545672960.

The previous prime is 1551156566153. The next prime is 1551156566171. The reversal of 1551156566166 is 6616656511551.

1551156566166 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 1 + 565 + 66 + 16 + 6 = 666.

It is a congruent number.

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, 91759671 + ... + 91776573.

It is an arithmetic number, because the mean of its divisors is an integer number (19223904960).

Almost surely, 2^{1551156566166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551156566166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845494876160).

1551156566166 is an abundant number, since it is smaller than the sum of its proper divisors (2139833186154).

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

1551156566166 is a wasteful number, since it uses less digits than its factorization.

1551156566166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17131 (or 17128 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 54.

The spelling of 1551156566166 in words is "one trillion, five hundred fifty-one billion, one hundred fifty-six million, five hundred sixty-six thousand, one hundred sixty-six".