1185166716552 has 1152 divisors, whose sum is σ = 4472145216000. Its totient is φ = 288877155840.

The previous prime is 1185166716541. The next prime is 1185166716583. The reversal of 1185166716552 is 2556176615811.

1185166716552 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 16 + 6 + 71 + 6 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1461364227 + ... + 1461365037.

It is an arithmetic number, because the mean of its divisors is an integer number (3882070500).

Almost surely, 2^{1185166716552} is an apocalyptic number.

1185166716552 is a gapful number since it is divisible by the number (12) 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 1185166716552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236072608000).

1185166716552 is an abundant number, since it is smaller than the sum of its proper divisors (3286978499448).

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

1185166716552 is a wasteful number, since it uses less digits than its factorization.

1185166716552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 898 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 1185166716552 in words is "one trillion, one hundred eighty-five billion, one hundred sixty-six million, seven hundred sixteen thousand, five hundred fifty-two".