1661227102080 has 576 divisors, whose sum is σ = 7186306327200. Its totient is φ = 350499889152.

The previous prime is 1661227102043. The next prime is 1661227102097. The reversal of 1661227102080 is 802017221661.

1661227102080 is a `hidden beast` number, since 1 + 6 + 612 + 2 + 7 + 10 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1661227102080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3442741 + ... + 3895499.

Almost surely, 2^{1661227102080} is an apocalyptic number.

1661227102080 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 1661227102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593153163600).

1661227102080 is an abundant number, since it is smaller than the sum of its proper divisors (5525079225120).

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

1661227102080 is a wasteful number, since it uses less digits than its factorization.

1661227102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452811 (or 452789 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1661227102080 in words is "one trillion, six hundred sixty-one billion, two hundred twenty-seven million, one hundred two thousand, eighty".