1661130936000 has 896 divisors, whose sum is σ = 6565157913600. Its totient is φ = 409851187200.

The previous prime is 1661130935977. The next prime is 1661130936077. The reversal of 1661130936000 is 6390311661.

1661130936000 is a `hidden beast` number, since 1 + 6 + 6 + 11 + 30 + 9 + 3 + 600 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 176467294 + ... + 176476706.

Almost surely, 2^{1661130936000} is an apocalyptic number.

1661130936000 is a gapful number since it is divisible by the number (10) 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 1661130936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282578956800).

1661130936000 is an abundant number, since it is smaller than the sum of its proper divisors (4904026977600).

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

1661130936000 is a wasteful number, since it uses less digits than its factorization.

1661130936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 1661130936000 in words is "one trillion, six hundred sixty-one billion, one hundred thirty million, nine hundred thirty-six thousand".