10661774160420 has 192 divisors, whose sum is σ = 33401859321600. Its totient is φ = 2823332060160.

The previous prime is 10661774160347. The next prime is 10661774160469. The reversal of 10661774160420 is 2406147716601.

10661774160420 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 17 + 7 + 4 + 1 + 604 + 20 = 666.

It is a super-2 number, since 2×10661774160420² (a number of 27 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 44475280 + ... + 44714360.

It is an arithmetic number, because the mean of its divisors is an integer number (173968017300).

Almost surely, 2^{10661774160420} is an apocalyptic number.

10661774160420 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 10661774160420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16700929660800).

10661774160420 is an abundant number, since it is smaller than the sum of its proper divisors (22740085161180).

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

10661774160420 is a wasteful number, since it uses less digits than its factorization.

10661774160420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239675 (or 239667 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 10661774160420 in words is "ten trillion, six hundred sixty-one billion, seven hundred seventy-four million, one hundred sixty thousand, four hundred twenty".