10027666661040 has 400 divisors, whose sum is σ = 39808295915520. Its totient is φ = 2291729656320.

The previous prime is 10027666661009. The next prime is 10027666661063. The reversal of 10027666661040 is 4016666672001.

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 (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 654582501 + ... + 654597819.

Almost surely, 2^{10027666661040} is an apocalyptic number.

10027666661040 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 10027666661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19904147957760).

10027666661040 is an abundant number, since it is smaller than the sum of its proper divisors (29780629254480).

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

10027666661040 is a wasteful number, since it uses less digits than its factorization.

10027666661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29782 (or 29767 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10027666661040 in words is "ten trillion, twenty-seven billion, six hundred sixty-six million, six hundred sixty-one thousand, forty".